AnswersALC EAP Geometry ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
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In the diagram, the ratios of two pairs of corresponding sides are equal.

Question illustration
A
∠N ≅ ∠Z
B
∠N ≅ ∠X
C
∠L ≅ ∠Z
D
∠L ≅ ∠Y
43

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet.

Question illustration
A
1.89 ft
B
2.43 ft
C
3 ft
D
7 ft
44

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
45

Planes A and B are shown.

Question illustration
A
Line p must be drawn in plane B.
B
Line p must be perpendicular to line m.
C
Line p must be drawn so that it can lie in the same plane as line l.
D
Line p must be drawn in the same plane as line n.
46

Triangle EFG is transformed to create triangle E'F'G'.

Question illustration
A
translation
B
stretch
C
rotation
D
reflection
47

Two parallel lines are crossed by a transversal.

Question illustration
A
61.8°
B
81.8°
C
118.2°
D
128.2°
48

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
49

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
50

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

Question illustration
A
m∠1 = 81° and m∠2 = 99°
B
m∠3 = 99° and m∠4 = 99°
C
m∠2 = 99° and m∠4 = 99°
D
m∠4 = 81° and m∠1 = 81°

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