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ANSWERS TO WORKSHEET

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1) True2) False3) True4) True

- x = 20, y = 106) x = 5 y = 37) 15
8) 279) 610) 2a11) 84

12) 7013) 7214) 715) 16

16) 617) 2

5-4 Special Parallelograms

TEST DATE IS CHANGED!!!!!!

Moved early to THURSDAY DEC. 1

QUIZ is TUESDAY Nov. 29

- A quadrilateral with four right angles
- Theorem: If one angle of a parallelogram is 90º, then it is a 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

O

D

C

A

OR

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

O

D

C

- A quadrilateral with four congruent sides.
- Theorem: If two consecutive sides of a parallelogram are congruent, then it is a rhombus.

- The diagonals of a rhombus are perpendicular.
- Each diagonal of a rhombus bisects two angles.

- 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.

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 atC)

B) your pictures

in Notes!!D)

Answer: A

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

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

A

B

4

E

2

62º

3

1

D

C

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

M

N

2

29º

3

12

Q

1

P

O

- 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