Directions: Choose the best answer.
Answer ALL questions (or only a few at a time), then use the BUTTON at the
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is incorrect, go back and redo that question and CHECK ANSWERS again.
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You may use your graphing calculator when working on these problems.
1.
In parallelogram CARS, m<C = 5x - 20 and m<A
= 3x + 40. Find the value of x.
[1] 15
[2] 20
[3] 30
[4] 130
2.
In the accompanying diagram,
What is the value of x.
[1] 10
[2] 17.5
[3] 40
[4] 50
3.If two consecutive sides of a
rhombus are represented by 3x - 6 and x +
14, then the perimeter of the rhombus is
[1] 10
[2] 24
[3] 70
[4] 96
4.
Points A, B, C, and D
are midpoints of the sides of square JETS.
If
the area of JETS is 36, the area of ABCD is
[1]
[2]
[3] 9
[4] 18
5.
In the diagram at the right,
parallel lines a and m are cut by transversal t,m<1
= 4x + 16 and m<2 = 2x - 22. Find m<1.
[1] 31°
[2] 40°
[3]
140°
[4]
148°
6.
A quadrilateral must be a parallelogram if one pair of opposite
sides is
[1] congruent, only.
[2]
parallel, only.
[3] congruent and parallel.
[4] parallel and the other pair of opposite sides is congruent.
7.
The perimeter of a rhombus is 60. If the length of its longer diagonal
measures 24, the length of the shorter diagonal is
[1] 20
[2] 18
[3] 15
[4] 9
8.
In the diagram at the right, lines a and m are parallel with
transversal t. Find the number of degrees in the angle labeled
x.
[1]
80°
[2] 100°
[3] 120°
[4] 140°
9.
In the accompanying diagram of
rectangle ABCD, m<ABE = 30 and m<CFE =
144. Find m<BEF.
[1] 36°
[2] 60°
[3] 84°
[4] 90°
10. Find
the perimeter of a rhombus whose diagonals measure 12 and 16.
[1] 10
[2] 20
[3] 40
[4] 80
11.
In the diagram at the right,
lines a and m are parallel and are cut by transversal t. Which two
angles are not always congruent?
[1] <4 and <6
[2]
<1 and <8
[3] <4 and <5
[4] <2 and <3
12.
In the diagram at the right, line a
is parallel to line b, and line t is a transversal. If
m<1 = 97 and m<2 = 44, find m<3.
[1]
44
[2] 53
[3] 83
[4] 97
13.
In the diagram at the right,
lines f and g are parallel, and lines a and b
are parallel. The m<x = 75. What is the value of m<y + m<z ?
[1] 75
[2] 105
[3] 150
[4] 180
14. Which
statement is true about all parallelograms?
[1] The diagonals
are congruent.
[2] The area is the product of two adjacent sides.
[3] The opposite angles are congruent.
[4] The diagonals are perpendicular to each other.
15. Which
property is true for all trapezoids?
[1] Only two opposite sides are parallel.
[2] Consecutive angles are supplementary.
[3] The base angles are congruent.
[4] All angles are equal.
16. In
the diagram at the right, ABCD is a square,
What is m<DAE ?
[1] 22.5
[2] 45.0
[3] 112.5
[4] 135.0
17.
Side of parallelogram
ABCD is represented by the equation
Which equation could represent side
?
[1]
[2]
[3]
[4]
18.In rectangle DATE,
diagonals
and
intersect at S. If AE = 40 and ST = x
+ 5, find the value of x.
[1] 10
[2] 15
[3] 18
[4] 20
19.
A parallelogram must be a rectangle if
its diagonals
[1] bisect each other.
[2] bisect the angles to which they are drawn.
[3] are perpendicular to each other.
[4] are congruent.
20.
In the accompanying diagram of
rhombus ABCD, m<CAB = 35. Find m<CDA.
[1] 35
[2] 70
[3] 110
[4] 140
of parallelogram
ABCD is represented by the equation
? 
and
intersect at S. If AE = 40 and ST = x
+ 5, find the value of x.