Unit Test — Cumulative exam Answers

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Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
42
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Triangles R S T and V U T are connected at point T.

Question illustration
A
RT = ST
B
3ST = UT
C
∠R ≅ ∠V
D
∠V ≅ ∠U
44

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Question illustration
A
Yes, A ≅ D and AB ≅ DE.
Option A
B
Yes, they are congruent by either AAS or ASA.
C
No, C is not congruent to any angle in DEF.
Option C
D
No, the congruent sides do not correspond.
50

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Question illustration
A
Yes, point D is the point of intersection of segments drawn from all three vertices.
B
Yes, DE is three-quarters of the length of the full segment.
C
No, DE should be longer than AD.
D
No, the ratio between AD and DE is 3:1.

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