Free Printable ACT Practice #5 (Geometry Topics)

1.

In the figure shown, if b = 100, what is the value of c?

a)

125

b)

130

c)

135

d)

143

e)

163

2.

If the measure of an angle is 42.5^o, what is the measure of its supplement?

a)

47.5

b)

57.5

c)

132.5

d)

137.5

e)

Cannot be determined from the given information.

3.

In the figure below, if y = 45 and points A, B, and C lie on the same line, what is the value of z?

a)

204

b)

135

c)

84

d)

72

e)

69

4.

In the figure below, with angles as marked, if x = 60, what is the value of y?

a)

50

b)

60

c)

70

d)

90

e)

110

5.

In the figure below, ABCD is a trapezoid, E lies on line AD, and angle measures are as indicated. If the measure of angle BAD = 49, what is the measure of angle DBA?

a)

110

b)

112

c)

131

d)

156

e)

189

6.

The measure of angle BFE in the figure below is 138. The measures of 3 angles are given in terms of m, in degrees. What is the measure of angle BFD?

a)

110

b)

115

c)

120

d)

125

e)

130

7.

In the figure showing triangle MNO below, line a is parallel to line b. Which of the following angles must be congruent to angle ONM?

a)

$\angle NOM$

b)

$\angle ZMO$

c)

$\angle YMN$

d)

$\angle OMN$

e)

$\angle XMN$

8.

In the figure below, $m\parallel n$ . If y = 37.5, what is the value of x?

a)

42.5

b)

100

c)

137.5

d)

142.5

e)

180

9.

If x = 73, $p\parallel q$ , and $m\parallel n$ in the four lines shown, what is the value of z?

a)

17

b)

73

c)

90

d)

97

e)

107

10.

In the figure below, $m\parallel n$ . If z = 42.5 and x = 125, then y = ?

a)

97.5

b)

87.5

c)

57.5

d)

47.5

e)

27.5

11.

If z = 55 and y = 75 in the picture below, then which of the following must be true?

a)

$p\parallel q$

b)

$x+y=180$

c)

$z=x$

d)

$x+z=180$

e)

$y=2x$

12.

In the figure below, V, W, X, and Y are collinear; Z, W, and T are collinear; and the angles at V, X, and T are right angles, as marked. Which of the following statements is NOT justifiable from the given information?

a)

$\overline{YT}\perp\overline{ZT}$

b)

$\angle VZW\cong\angle XTW$

c)

$\overline{XY}\cong\overline{TX}$

d)

$\Delta ZVW\sim\Delta TXW$

e)

$\overleftarrow{V}\overrightarrow{Z}\parallel\overleftarrow{T}\overrightarrow{X}$

13.

In the figure below, if $a\parallel b$ and the measure of x = 25, what is the measure of y?

a)

25

b)

50

c)

90

d)

108

e)

133

ACT Practice #5 (Geometry Topics)

Total questions: 13

Worksheet time: 26mins

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