Name______________________
Chapter 6 Review
TRUE OR FALSE:
1. In a Parallelogram:
a. Opposite sides are always congruent.
b. Opposite angles are always congruent.
c. Opposite angles are always supplementary.
d. Consecutive angles are always supplementary.
e. Opposite sides are always parallel.
f. Diagonals are always congruent.
g. Diagonals always bisect each other.
2. In a Kite:
a. Diagonals are always congruent.
b. Diagonals always bisect each other.
c. Diagonals are always perpendicular.
d. Opposite sides are always congruent.
e. Opposite angles are always congruent.
3. In a Rectangle:
a. Diagonals are always congruent.
b. Diagonals always bisect each other.
c. Diagonals are always perpendicular.
d. Opposite sides are always congruent.
4.
a. All quadrilaterals are parallelograms.
b. All parallelograms are quadrilaterals.
c. All rectangles are squares.
d. All squares are rhombuses.
e. All squares are rectangles.
f. All rhombuses are parallelograms.
g. All rectangles are quadrilaterals.
5. Find the value of the variables in each parallelogram below.
a.
20
25
a =___
120
b=___
c =___
by
cz
xa
b.
P
Q
x =___
(3x + 6) (2x -1)
m<P =_____
M
L
m<Q =_____
6. If mR = 95 and mT = 45, find mU.
m<U =_____
S
R
U
7. ABCD is a Trapezoid.
a. If AB = 10 in. and DC = 22 in., find EF.
A
E
D
T
b. If DC = 21 in. and EF = 14 in., find AB.
B
F
C
8. Find the measure of angles B, C, and D when mA = 40.
C
D
A
A
B
E
D
B
F
C
The shape below is a rectangle.
Q
5 cm
U
x+1
3 cm
D
2x-1
A
9. Find the measure of each segment and show work to support your answer.
AD = _________
QD = _________
QA = _________
UD = _________
10. What is the perimeter of QUAD?
11. MNOP is a rectangle. Find the length of MN when NO = 3x + 13 , PO = 5x – 3 and the
perimeter is 140 mm.
M
N
P
O
12. Prove that quadrilateral ABCD is a parallelogram. A(-2,-1) B(1,2) C(5,2) D(2,-1)
SHOW YOUR WORK and EXPLAIN YOUR REASONING. (4 _____________ needed)
y
x
13. What type of shape is the following quadrilateral? A(0,2) B(2,4) C(4,2) D(2,0)
SHOW YOUR WORK and EXPLAIN YOUR REASONING.
Explain why you picked the shape you did. For example, don’t just say the slopes are equal, show
what the slopes are, the work in finding them and what that implies about the shape.
Parallelogram Y/N
y
Why? ________________________
Rectangle
x
Y/N
Why? ________________________
Rhombus
Y/N
Why? ________________________
Square
Y/N
Why? ________________________
Trapezoid
Y/N
Why? ________________________
Final shape name: _____________