Transcript
Page 1: ANSWERS TO WORKSHEET

ANSWERS TO WORKSHEET

1) True 2) False 3) True 4) True5) x = 20, y = 10 6) x = 5 y = 3 7)

158) 27 9) 6 10) 2a 11)

8412) 70 13) 72 14) 7 15) 1616) 6 17) 2

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5-4 SPECIAL PARALLELOGRAMS

TEST DATE IS CHANGED!!!!!!

Moved early to THURSDAY DEC. 1

QUIZ is TUESDAY Nov. 29

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RECTANGLE

A quadrilateral with four right angles

Theorem: If one angle of a parallelogram is 90º, then it is a rectangle.

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RECTANGLE

Theorem: The diagonals of a rectangle are congruent.

Theorem: The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.

A B

D C

O

AC BD

AO CO BO DO

A

D C

O

ORThe median of a right angle of a triangle is ½ the hypotenuse

1

2DO AC

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RHOMBUS

A quadrilateral with four congruent sides.

Theorem: If two consecutive sides of a parallelogram are congruent, then it is a rhombus.

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RHOMBUS

The diagonals of a rhombus are perpendicular.

Each diagonal of a rhombus bisects two angles.

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SQUARE

A quadrilateral with four right angles and four congruent sides. It’s a combo of a rectangle and a rhombus!!!!

ALL THEOREMS for a RECTANGLE and RHOMBUS also apply to a square.

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Multiple Choice Notes

1) A conditional statement is shown below. If a quadrilateral has perpendicular diagonals,

then it is a rhombus.Which of the following is a counterexample to

the statement above?A) Look at C)B) your pictures

in Notes!! D)

Answer: A

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Multiple Choice Notes

Quadrilateral is a parallelogram. If adjacent angles are congruent, which statement must be true?A) Quadrilateral is a square.B) Quadrilateral is a rhombus.C) Quadrilateral is a rectangle.D) Quadrilateral is an isosceles trapezoid.

ANSWER: C

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TOO: ABCD IS A RHOMBUS

Find the measure of angles 1, 2, 3, and 4.

A B

D C

E

2

362º

1

4O2 90O3 28O4 56

O1 62

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TOO: MNOP IS A RECTANGLE

Find the measure of angles 1, 2, and 3. Find the length of PQ and MO.

M N

P O

Q

23 29º

1

12

O1 90O2 29O3 61

12PQ 24MO

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HOMEWORK

Page 187 #1-29, SKIP 20-23

#28 is 4 steps #29 is 6 steps Copy the chart for #1-10

Flashcards Rectangle Right Triangle Thm Rhombus Square


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