the quadrilateral family tree wednesday 12/3/08 – thursday 12/4/08
TRANSCRIPT
![Page 1: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/1.jpg)
The Quadrilateral Family TreeWednesday 12/3/08 – Thursday 12/4/08
![Page 2: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/2.jpg)
1. _____________________
_____________________
1. _____________________
________________________
1. _____________________
2. _____________________
3. _____________________
4. _____________________
_____________________
2. _____________________
1. _____________________
_____________________
2. _____________________
3. _____________________
1. _____________________
_____________________1. _____________________
2. _____________________
3. _____________________
4. _____________________
_____________________
1. _____________________
2. _____________________
3. _______________
__________
1. _____________________
2. _____________________
3. _____________________
__________________
![Page 3: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/3.jpg)
1. _____________________
Quadrilateral
1. _____________________
2. _____________________
3. _____________________
4. _____________________
_____________________
2. _____________________
3. _____________________
1. _____________________
_____________________
1. _____________________
2. _____________________
3. _____________________
_____________________
1. _____________________
2. _____________________
3. _______________
__________
1. _____________________
2. _____________________
__________________
1. Four-sided polygon
![Page 4: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/4.jpg)
![Page 5: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/5.jpg)
Parallelogram•A quadrilateral with two pairs of parallel sides
![Page 6: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/6.jpg)
1.
1. Four-sided polygon
QUADRILATERAL
1.
2.
3.
4.
PARALLELOGRAM
2.
3.
1. 1.
2.
3.
1.
2.
3.
1.
2.
ISOSCELES TRAPEZOID
![Page 7: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/7.jpg)
Parallelogram
![Page 8: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/8.jpg)
Parallelogram
![Page 9: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/9.jpg)
Parallelogram
1
2
![Page 10: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/10.jpg)
Parallelogram
1
2
![Page 11: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/11.jpg)
Parallelogram
1
23
4
![Page 12: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/12.jpg)
Parallelogram
1
23
4
![Page 13: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/13.jpg)
Parallelogram
1
23
4
![Page 14: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/14.jpg)
Parallelogram
1
23
4
![Page 15: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/15.jpg)
Parallelogram
1
23
4
•The two triangles formed by a diagonal are congruent by ASA.
![Page 16: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/16.jpg)
Parallelogram
1
23
4
•What does that mean about opposite sides of a parallelogram?
![Page 17: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/17.jpg)
Parallelogram
1
23
4
•What does that mean about opposite sides of a parallelogram?
![Page 18: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/18.jpg)
1.
TRAPEZOID
1. Four-sided polygonQUADRILATERAL
1.
2.
3.
4.
PARALLELOGRAM
2.
1.
SQUARE
2.
3.
1.
RECTANGLE1.
2.
3.
4.
RHOMBUS
1.
2.
3.
KITE
1.
2.
3.
ISOSCELES TRAPEZOID
![Page 19: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/19.jpg)
1.
1. Four-sided polygon
QUADRILATERAL
2.
3.
4.
PARALLELOGRAM
2.
3.
1. 1.
2. 3.
1.
2.
1. Opposite sides are congruent 2.
3.
1.
![Page 20: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/20.jpg)
Parallelograms•What about opposite angles in a
parallelogram?
![Page 21: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/21.jpg)
1.
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3.
4.
PARALLELOGRAM
2.
3.
1. 1.
2. 3.
1.
2.
1. Opposite sides are congruent 2.
3.
1.
![Page 22: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/22.jpg)
Parallelograms
1
2
•Are these two triangles congruent? By which postulate?
![Page 23: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/23.jpg)
Parallelogram•Since the triangles are congruent, the diagonals
of the parallelogram bisect each other.
![Page 24: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/24.jpg)
1.
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4.
PARALLELOGRAM
2.
3.
1. 1.
2. 3.
1.
2.
1. Opposite sides are congruent 2.
3.
1.
![Page 25: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/25.jpg)
Parallelogram
5
6
•What kind of angles are angles 5 & 6?
![Page 26: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/26.jpg)
Parallelogram•Consecutive angles in a parallelogram are
supplementary.
5
6
![Page 27: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/27.jpg)
1.
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2.
3.
1. 1.
2. 3.
1.
2.
1. Opposite sides are congruent 2.
3.
1.
![Page 28: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/28.jpg)
Rectangles, rhombuses, and squares
![Page 29: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/29.jpg)
![Page 30: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/30.jpg)
Rectangle•A quadrilateral with four right angles
![Page 31: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/31.jpg)
Rectangle•Has all the properties of a parallelogram
![Page 32: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/32.jpg)
1. 2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
SQUARE
2. All properties above
3.
1. Four right angles
RECTANGLE1.
2. 3.
4.
1.
2.
3.
1. Opposite sides are congruent 2.
3.
1.
![Page 33: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/33.jpg)
Rectangle•What should be true about the overlapping
triangles formed by the diagonals?
![Page 34: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/34.jpg)
Rectangle•What should be true about the overlapping
triangles formed by the diagonals?
![Page 35: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/35.jpg)
Rectangle•The triangles are congruent by SAS since
opposite sides of a parallelogram are congruent
![Page 36: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/36.jpg)
Rectangle•So the diagonals in a rectangle must be
congruent by CPCTC
![Page 37: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/37.jpg)
1. 2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
SQUARE
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1.
2. 3.
4.
1.
2.
3.
1. Opposite sides are congruent 2.
3.
1.
![Page 38: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/38.jpg)
![Page 39: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/39.jpg)
Rhombus•A quadrilateral with four congruent sides
![Page 40: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/40.jpg)
Rhombus•Also has all the properties of a parallelogram
![Page 41: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/41.jpg)
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
SQUARE
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above3.
4.
RHOMBUS
1.
1. Opposite sides are congruent 2.
3.
1.
![Page 42: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/42.jpg)
Rhombus•What kind of triangles are formed by a diagonal?
![Page 43: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/43.jpg)
Rhombus•What kind of triangles are formed by a diagonal?
![Page 44: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/44.jpg)
Rhombus•What kind of triangles are formed by a diagonal?
![Page 45: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/45.jpg)
Rhombus•Each diagonal bisects a pair of opposite angles
![Page 46: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/46.jpg)
Rhombus•Each diagonal bisects a pair of opposite angles
![Page 47: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/47.jpg)
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
SQUARE
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
4.
RHOMBUS
1.
1. Opposite sides are congruent 2.
3.
1.
![Page 48: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/48.jpg)
Rhombus
![Page 49: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/49.jpg)
Rhombus•What should be true about angles 1 and 2?
12
![Page 50: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/50.jpg)
Rhombus•What would the angle measures have to be?
12
![Page 51: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/51.jpg)
Rhombus•What would the angle measures have to be?
![Page 52: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/52.jpg)
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
SQUARE
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
4. Diagonals are
RHOMBUS
1.
1. Opposite sides are congruent 2.
3.
1.
![Page 53: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/53.jpg)
![Page 54: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/54.jpg)
Square•A quadrilateral with four right angles (like
a rectangle) and four congruent sides (like a rhombus)
![Page 55: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/55.jpg)
Square•So a square has all the properties of both
a rectangle and a rhombus
![Page 56: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/56.jpg)
1. All properties of a rectangle
SQUARE
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE
1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
4. Diagonals are
RHOMBUS
1.
3.
2. All properties of a rhombus
![Page 57: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/57.jpg)
ParallelogramsParallelograms
RectanglesRectangles RhombusesRhombuses
SquaresSquares
![Page 58: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/58.jpg)
1.
TRAPEZOID
1. Four-sided polygonQUADRILATERAL
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supplementary
PARALLELOGRAM
2. Properties of a rhombus
1. Properties of a rectangle
SQUARE
2. Four right angles
3. Diagonals are congruent
1. All properties of a parallelogram
RECTANGLE1. Properties of a parallelogram
2. All sides are congruent
3. Diagonals are perpendicular
4. Diagonals bisect opposite angles
RHOMBUS
1.
2.
3.
KITE
1.
2.
3.
ISOSCELES TRAPEZOID
![Page 59: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/59.jpg)
![Page 60: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/60.jpg)
Trapezoid•A quadrilateral with exactly one pair of
parallel sides
![Page 61: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/61.jpg)
1. One pair of parallel sides
TRAPEZOID
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE
2. All properties above
3. Diagonals bisect opposite angles
1.
2.
1. Opposite sides are congruent
![Page 62: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/62.jpg)
Trapezoid•If the legs are congruent, the trapezoid is
an isosceles trapezoid
![Page 63: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/63.jpg)
1. One pair of parallel sides
TRAPEZOID
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Legs are congruent
2.
3.
ISOSCELESTRAPEZOID
1. Opposite sides are congruent
![Page 64: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/64.jpg)
Isosceles Trapezoid
![Page 65: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/65.jpg)
Isosceles Trapezoid•In an isosceles trapezoid, the base angles
are congruent
![Page 66: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/66.jpg)
1. One pair of parallel sides
TRAPEZOID
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Legs are congruent
2. Base <s are congruent
3.
ISOSCELESTRAPEZOID
1. Opposite sides are congruent
![Page 67: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/67.jpg)
Isosceles Trapezoid•What should be true about the diagonals
of an isosceles trapezoid?
![Page 68: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/68.jpg)
Isosceles Trapezoid•What should be true about the diagonals
of an isosceles trapezoid?
![Page 69: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/69.jpg)
1. One pair of parallel sides
TRAPEZOID
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
3. Diagonals are congruent
1. Four right angles
RECTANGLE1. Legs are congruent
2. Base <s are congruent
3. Diagonals are congruent
ISOSCELESTRAPEZOID
1. Opposite sides are congruent
![Page 70: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/70.jpg)
Trapezoid Midsegment•The segment formed by the midpoints of the legs
![Page 71: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/71.jpg)
Trapezoid Midsegment
•Its length is the average of the two bases.
![Page 72: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/72.jpg)
Trapezoid Midsegment
•Its length is the average of the two bases.
![Page 73: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/73.jpg)
![Page 74: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/74.jpg)
Kite•A quadrilateral with exactly two pairs of
congruent consecutive sides
![Page 75: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/75.jpg)
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
RHOMBUS
KITE
1. Opposite sides are congruent2.
3.
1. 2 pairs of congruent consecutive sides
![Page 76: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/76.jpg)
Kite•Diagonals are perpendicular
![Page 77: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/77.jpg)
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
RHOMBUS
KITE
1. Opposite sides are congruent2. Diagonals are _
3.
1. 2 pairs of congruent consecutive sides
![Page 78: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/78.jpg)
Kite•Exactly one pair of opposite angles are
congruent
![Page 79: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/79.jpg)
1. Four-sided polygon
QUADRILATERAL
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supp.
PARALLELOGRAM
2. All properties above
1. Four right angles
RECTANGLE1. Four congruent sides
2. All properties above
3. Diagonals bisect opposite angles
RHOMBUS
KITE
1. Opposite sides are congruent2. Diagonals are _
3. One pair of opposite <scongruent
1. 2 pairs of congruent consecutive sides
![Page 80: The Quadrilateral Family Tree Wednesday 12/3/08 – Thursday 12/4/08](https://reader036.vdocuments.us/reader036/viewer/2022082211/5697c01d1a28abf838cd0afe/html5/thumbnails/80.jpg)
1. Exactly one pair of parallel sides
TRAPEZOID
1. Four-sided polygonQUADRILATERAL
1. Opposite sides are congruent
2. Opposite angles are congruent
3. Diagonals bisect each other
4. Consecutive angles are supplementary
PARALLELOGRAM
2. Properties of a rhombus
1. Properties of a rectangle
SQUARE
2. Four right angles
3. Diagonals are congruent
1. All properties of a parallelogram
RECTANGLE1. Properties of a parallelogram
2. All sides are congruent
3. Diagonals are perpendicular
4. Diagonals bisect opposite angles
RHOMBUS
1. Exactly two pairs of congruent sides
2. Exactly one pair of congruent opposite angles
3. Diagonals are perpendicular
KITE
1. Legs are congruent
2. Diagonals are congruent
3. Two pairs of congruent base angles
ISOSCELES TRAPEZOID