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NAME____________________________________DATE_________________PER.________
MODULE 7: MIDSEGMENT & QUADRILATERALS REVIEW
PARALLELOGRAMS
Use parallelogram PQRS below to complete the following statements.
Q
________1.
If QX = 9y – 3 and XS = 7y +5, then what is the
value of y ?
________2.
If mQPS = 3y + 6 and the mQRS = y+10, then
what is the measure of mQRS ?
________3.
If mQPS = 125, then mPQR = ?
________4
________
If m1 = 27 and m2 = 30, then m3 = ? and
mQPS = ?
2
1
R
X
3
P
S
The quadrilateral is a parallelogram. Find the indicated values.
7y
3x
5. x = __________
y = __________
45
4y + 21
RECTANGLES
Quadrilateral WXYZ is a rectangle.
__________6.
If WY = 20 and ZT = 3n – 1, what is the value of n?
W
X
T
__________7.
If WX = 40 and ZY = 3p – 2, what is the value of p?
Solve each of the following given the quadrilateral is a rectangle.
__________8.
Given m1 = 55, what is the m2 and the mTRS?
__________
Q
R
3
2
T
P
1
4
S
Z
Y
__________9.
If m1 = (3x – 5) and m2 = (2x + 10)º, what is the value of x and
m1?.
Q
__________
R
3
T
2
P
4
1
S
SQUARES & RHOMBI
Use square ABCD and the given information to find each value.
__________10.
If mAEB = (15x), find ‘x’.
A
B
E
__________11.
If mBAC = (9x), find ‘x’.
__________12.
If AB = 3x + 4 and CD = 5x – 2, find BC.
D
Find the indicated value.
__________13.
ACKJ is a rhombus. AC = 6y + 4, CK = 5y + 8, and
KJ = 3y + 16. Find the value of ‘y’ and AJ.
__________
__________14.
PQRS is a rhombus. mPQS = (50). Find the mQRS.
C
__________15.
Given ABCD is a rhombus and m2 = 36º,
What is the m4 & m5?
__________
D
A
1
B
3
5
E
4
2
C
__________16.
The three points, J(-4, 2), K(0,3), L(1,-1) are vertices of a
rhombus. What are the coordinates of the fourth vertex?
__________17.
One angle of a parallelogram is 60°. What are the measures of
the other angles?
__________
__________
TRAPEZOIDS
The diagram below shows a trapezoid and its midsegment. Complete each of the
following. Using each of the following diagrams, find the value of ‘x’.
__________18.
The measures of the bases of a trapezoid are 18 cm and 24 cm. What is
the measure of the trapezoid’s midsegment?
Trapezoid MNOP is an Isosceles Trapezoid. Find the m<N.
__________19.
Midsegment
UV is a midsegment. What is the value of x and the length of XZ?
________20.
_______
WY is a midesgment. What is the value of x?
__________21.
4x + 1
33
__________22.
UV and VW are midsedment. What is the length of SR and the length of
UV?
__________
42 in
_________23.
Draw a midsegment connecting JK and LK. What is the length of that
midsegment?
_________
120 m
120 m