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ANSWERS TO WORKSHEET. 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. Rectangle.

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ANSWERS TO WORKSHEET

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Answers to worksheet

ANSWERS TO WORKSHEET

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

5-4 Special Parallelograms

TEST DATE IS CHANGED!!!!!!

Moved early to THURSDAY DEC. 1

QUIZ is TUESDAY Nov. 29


Rectangle

Rectangle

  • A quadrilateral with four right angles

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


Rectangle1

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

Rhombus

  • A quadrilateral with four congruent sides.

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


Rhombus1

Rhombus

  • The diagonals of a rhombus are perpendicular.

  • Each diagonal of a rhombus bisects two angles.


Square

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

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 atC)

B) your pictures

in Notes!!D)

Answer: A


Multiple choice notes1

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


Too abcd is a rhombus

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

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

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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