AnswersCR CCSS Math 2 S2 M2960OXDirected Line Segments and Modeling

Directed Line Segments and Modeling — Unit test Answers

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Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

Question illustration
A
58 cm
B
75 cm
C
88 cm
D
116 cm
22
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What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

Question illustration
A
–1
B
0
C
2
D
3
23

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

Question illustration
A
a reflection and a dilation
B
a rotation and a dilation
C
a translation and a dilation
D
a reflection and a translation
24

Two similar triangles are shown.

Question illustration
A
translated
B
reflected
C
dilated
D
rotated
25

The proof that ΔRST ≅ ΔVST is shown.Given: ST is the perpendicular bisector of RV.Prove: ΔRST ≅ ΔVST

Question illustration
A
perpendicular bisector theorem
B
converse of the perpendicular bisector theorem
C
Pythagorean theorem
D
SSS congruence theorem
26

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Question illustration
A
HL
B
SAS
C
AAS
D
SSS
27

Points Q and R are midpoints of the sides of triangle ABC.

Question illustration
A
10 units
B
14 units
C
20 units
D
32 units
28

Consider the diagram.

Question illustration
A
SSS.
B
ASA.
C
SAS.
D
HL.
29

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
30

Given: HF || JK; HG ≅ JGProve: FHG ≅ KJG

Question illustration
A
FGH ≅ KGJ because vertical angles are congruent.
Option A
B
JKG ≅ HFG because vertical angles are congruent.
Option B
C
FHG ≅ JKG because right angles are congruent.
Option C
D
HFG ≅ KJG because alternate interior angles are congruent.
Option D

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