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

x + y = 180 x+y=180 x + y = 1 8 0

x + z = 180 x+z=180 x + z = 1 8 0

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?

X Y ‾ ≅ T X ‾ \overline{XY}\cong\overline{TX} X Y ≅ T X

Y T ‾ ⊥ Z T ‾ \overline{YT}\perp\overline{ZT} Y T ⊥ Z T

∠ V Z W ≅ ∠ X T W \angle VZW\cong\angle XTW ∠ V Z W ≅ ∠ X T W

Δ Z V W ∼ Δ T X W \Delta ZVW\sim\Delta TXW Δ Z V W ∼ Δ T X W

V ← Z → ∥ T ← X → \overleftarrow{V}\overrightarrow{Z}\parallel\overleftarrow{T}\overrightarrow{X} V <path d="M400000 241H110l3-3c68.7-52.7 113.7-120 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8 -5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247 c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202 l-3-3h399890zM100 241v40h399900v-40z"> Z <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ∥ T <path d="M400000 241H110l3-3c68.7-52.7 113.7-120 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8 -5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247 c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202 l-3-3h399890zM100 241v40h399900v-40z"> X <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

ACT Practice #5 (Geometry Topics)

Authored by patricia kinser

Mathematics

10th - 12th Grade

13 Questions

CCSS covered

Used 26+ times

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Content View

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

125

130

135

143

163

Tags

CCSS.HSG.C.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

47.5

57.5

132.5

137.5

Cannot be determined from the given information.

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

204

135

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

110

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

110

112

131

156

189

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

110

115

120

125

130

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

$\angle NOM$

$\angle ZMO$

$\angle YMN$

$\angle OMN$

$\angle XMN$

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

42.5

100

137.5

142.5

180

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

107

Tags

CCSS.8.G.A.5

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

97.5

87.5

57.5

47.5

27.5

Tags

CCSS.8.G.A.5

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ACT Practice #5 (Geometry Topics)

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

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

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

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

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?

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?

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?

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

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

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

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Discover more resources for Mathematics

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

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

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

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