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# ANSWERS TO WORKSHEET - PowerPoint PPT Presentation

ANSWERS TO WORKSHEET. 1) True 2) False 3) True 4) True x = 20, y = 10 6) x = 5 y = 3 7) 15 8) 27 9) 6 10) 2a 11) 84 12) 70 13) 72 14) 7 15) 16 16) 6 17) 2. 5-4 Special Parallelograms. TEST DATE IS CHANGED!!!!!! Moved early to THURSDAY DEC. 1 QUIZ is TUESDAY Nov. 29. Rectangle.

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1) True 2) False 3) True 4) True

• x = 20, y = 10 6) x = 5 y = 3 7) 15

8) 27 9) 6 10) 2a 11) 84

12) 70 13) 72 14) 7 15) 16

16) 6 17) 2

### 5-4 Special Parallelograms

TEST DATE IS CHANGED!!!!!!

Moved early to THURSDAY DEC. 1

QUIZ is TUESDAY Nov. 29

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

Rhombus
• A quadrilateral with four congruent sides.
• Theorem: If two consecutive sides of a parallelogram are congruent, then it is a rhombus.
Rhombus
• The diagonals of a rhombus are perpendicular.
• Each diagonal of a rhombus bisects two angles.
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.
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)

in Notes!! D)

Multiple Choice Notes

Quadrilateral is a parallelogram. If adjacent angles are congruent, which statement must be true?

D) Quadrilateral is an isosceles trapezoid.

TOO: ABCD is a Rhombus
• Find the measure of angles 1, 2, 3, and 4.

A

B

4

E

2

62º

3

1

D

C

TOO: MNOP is a Rectangle
• 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

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