geometry today: over 6.4 vocab 6.4 instruction practice every moment in planning saves 3 or 4 in...
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Geometry
Today:• Over 6.4
Vocab• 6.4
Instruction• Practice
Every moment in planning saves 3 or 4 in execution.
Crawford Greenwalt
Assignment:– 6.4 Intro WS
Geometry
Every moment in planning saves 3 or 4 in execution.
Crawford Greenwalt
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REVIEW:
What are the properties of a parallelogram?
6.3
6.4 Rhombuses, Rectangles, & Squares
Objectives:1.Know special parallelograms2.Know properties of special
parallelograms
Vocabulary:square, rhombus, rectangle
vocabulary
Rectangle – a quadrilateral with 4 right angles
6.4
Facts about a rectangle.
Has ALL properties of a parallelogramHas four right angles.
-Diagonals are congruent.
A parallelogram is a rectangle iff the diagonals are congruent.
6.47 Properties
vocabulary
Rhombus: a quadrilateral with 4 congruent sides
6.4
Facts about a rhombus.
- Diagonals are - Diagonals bisect angles.A parallelogram is a rhombus iff the
diagonals are perpendicular.
A parallelogram is a rhombus iff the diagonals bisect the angles.
6.4
Has ALL properties of a parallelogramHas four congruent sides.
8 Properties
vocabulary
Square – a quadrilateral with 4 right angles and 4 congruent sides – it is both a rhombus and a rectangle
6.4
Facts about a square.
Has ALL properties of a parallelogram
Has ALL properties of a rectangle.
6.4
10 Properties
Has ALL properties of a rhombus.
Quadrilaterals
(4 sides)
Parallelograms
(opp. sides ll)
Rhombus(all sides )
Rectangles(all right ’s)
Square(Rect & Rhomb)
6.6
• What type of quadrilateral is ABCD?
• Rectangle
• Parallelogram
A B
CD
Questions about special quadrilaterals.
Answer each question with A, S, N for always, sometimes, and never true.1. A rectangle is a square
2. A square is a rhombus
3. A rectangle is a parallelogram
4. A rectangle is a rhombus
6.4
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite sides parallel
Exactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent
Diagonals bisect each other
Both pairs of opposite sides are congruent
Exactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent
Exactly one pair of opposite angles are congruent
All angles are congruent
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel XExactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent
Diagonals bisect each other XBoth pairs of opposite sides are congruent XExactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent XExactly one pair of opposite angles are congruent
All angles are congruent
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular
Diagonals congruent XDiagonals bisect each other X XBoth pairs of opposite sides are congruent X XExactly one pair of opposite sides are congruent
All sides are congruent
Both pairs of opposite angles are congruent X XExactly one pair of opposite angles are congruent
All angles are congruent X
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular XDiagonals congruent XDiagonals bisect each other X X XBoth pairs of opposite sides are congruent X X XExactly one pair of opposite sides are congruent
All sides are congruent XBoth pairs of opposite angles are congruent X X XExactly one pair of opposite angles are congruent
All angles are congruent X
Property ll rect
rhm
sqr kite
trp istrp
Both pairs of opposite.sides parallel X X X XExactly 1 pair of opposite sides parallel
Diagonals perpendicular X XDiagonals congruent X XDiagonals bisect each other X X X XBoth pairs of opposite sides are congruent X X X XExactly one pair of opposite sides are congruent
All sides are congruent X XBoth pairs of opposite angles are congruent X X X XExactly one pair of opposite angles are congruent
All angles are congruent X X
Questions about special quadrilaterals.
List all the special quadrilaterals that have each property:
1. Diagonals are congruent
2. Diagonals are perpendicular
3. Consecutive angles are supplementary.
4. Regular Polygon
6.4
MNOP is a rectangle with interior point A. If MA = 6x + 4 and PA = 7x – 4, find PN.
6.4
A
D C
B
5x + 8°
3x + 2°
6.4
Find x and y, such that ABCD is a rectangle.
6y + 2°
QRST is a rhombus. Find x and y, if m1 = y2 – 54, m2 = 5x + 7 and m3 = 7x – 1.
Q
R
T
S
23
6.4
1
Is ABCD a square, rectangle or rhombus?
D
A
C
Bx + 7
3y +
3
6.4
2x – 4
4y –
2
10z + 5°8z + 13°
Assignment:– 6.4 p 351 #
16-38– Test Chapter 6
on Wednesday
GeometryEvery moment in planning saves 3 or 4 in execution.
Crawford Greenwalt