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ANSWERS TO WORKSHEET
1) True
2) False
3) True
5) x = 20, y = 10
6) x = 5 y = 3
8) 27
9) 6
10) 2a
12) 70
13) 72
14) 7
16) 6
17) 2
4) True
7) 15
11) 84
15) 16
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.
A
B
AC
O
 BD
AO  CO  BO  DO
D
C
 Theorem: The midpoint of the hypotenuse of a right
triangle is equidistant from the three vertices.
A
OR
The median of a right
1
O
DO  AC
angle of a triangle is ½
2
the hypotenuse
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)
B)
your pictures
in Notes!!
D)
Answer: A
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

Find the measure of angles 1, 2, 3, and 4.
1  62 O
O
2  90
O
3  28
4  56O
D
3
A
4
E
2
62º
1
C
B
TOO: MNOP IS A RECTANGLE
Find the measure of angles 1, 2, and 3.
 Find the length of PQ and MO.

1  90O
2  29O M
O
3
3  61
PQ  12
N
2
29º
Q
1
P
O
MO  24
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
