This is
Geopardy
Chapter 8 Review
Quadrilaterals
Properties
of
Parallelograms
Quads or
//-grams
Special
Parallelograms
Trapezoids
and Kites
Potpourri
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Define what a rhombus is.
Describe the figure using as many of these
words as possible: rectangle, trapezoid,
square, kite, quadrilateral, parallelogram,
rhombus.
Isosceles trapezoid ABCD has
legs AB and CD and base BC. If
AB = 3y – 9, BC = 8y -2 and
CD = 7y – 10, find the value of y
One side of a kite is 5 cm less than 5
times the length of another. If the
perimeter is 62 cm, find the length of
each side of the kite.
Find the values of the variables. Then
find the lengths of the sides of the
rectangle.
3x -7
2y
5y - 21
5x - 9
If a quadrilateral is a
parallelogram, then its consecutive
angles are ____________.
Find the value of the variables
in the parallelogram.
20
112
y
z
x
In the figure, the horizontal lines
are parallel and AB = BC = AC.
Find HF.
M
A
7
L
B
K
J
C
D
H
G
F
E
7.4
Solve to find the values of x and y in
parallelogram PQRS. Then find PT.
Q
P
2x  1
T
x4
y 1
3 y  11
S
R
DEFG is a parallelogram. Find the
values of x and y.
DH  y  4, HF  3x  1, GH  2 y, HE  3x  2
D
E
H
G
F
Complete the statement for
parallelogram ABCD. Then state
why that is true.
AO 
?
D
C
O
A
B
Find values of x and y for which
ABCD must be a parallelogram.
A
B
3y  3
x2
x  11
5y  6
D
C
Find the values of x and y for which LMNO must be a parallelogram.
O
N
L
ON = 9x – 5
NM = x – 7
M
LM = 8x + 7
OL = 4y - 6
Henry is building a fence for his yard.
He is considering two designs, which
are shown below. Explain why the
quadrilaterals formed by the horizontal
rails and the boards are parallelograms
in both designs.
Design 1:
Design 2:
Which of these descriptions would
not guarantee that the figure was a
square?
[A] a quadrilateral with all right angles
and all sides congruent
[B] a parallelogram with perpendicular
diagonals
[C] both a rectangle and a rhombus
[D] a quadrilateral with all sides and all
angles congruent
DEFG is a rectangle. Find the value of x
and the length of each diagonal.
Hint: Draw a picture.
DF  2 x  1 and EG  x  3
Explain how you can determine,
without measuring any angles,
whether a quadrilateral is a rectangle.
Given the picture below what is the
most precise name of the quadrilateral.
1
3
2
Choose the most precise for the
parallelogram and find the
measures of the numbered angles.
1
2
99°
4
3
Write a two-column proof:
Given: ABCD is a rhombus.
Prove:  ACB  CAD
A
D
B
C
Angles M and J are base angles of
isosceles trapezoid JKLM. Find the
value of x given the following
information.
mJ  21x  4,
mK  12 x  8,
mM  14 x  10,
Find m  T in the diagram,
if mR  120 and mS  60.
S
R
T
U
Which of these descriptions would not
guarantee that the figure was an
isosceles trapezoid?
[A] a trapezoid with congruent bases
[B] a trapezoid with both pairs of base
angles congruent
[C] a trapezoid with congruent legs
[D] a trapezoid with congruent
diagonals
One side of a kite is 4 cm less than
four times the length of another. If the
perimeter is 66 cm, find the length of
each side of the kite. Round your
answer to the nearest tenth.
The base angles of a trapezoid are
__________.
A
C
B
D
A(n) _____ is a parallelogram with
four right angles and opposite
sides congruent.
A(n) ____ is a quadrilateral with two
pairs of adjacent sides congruent and
no opposite sides congruent.
A(n) _____ is a parallelogram with
four congruent sides and 4 right
angles.
A(n) _____ is a quadrilateral with
exactly one pair of parallel sides.
Angles of a parallelogram that
share a common side are _____.