AnswersCR CCSS Math 2 S2 M2960OXUsing Triangle Similarity Theorems

Using Triangle Similarity Theorems Answers

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1
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Given that PO is a midsegment of △LMN, to which segment is MO congruent?

A
MP
B
OL
C
PN
D
PO
2
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♦:

A
definition of congruent angles
B
definition of corresponding angles
C
definition of similar triangles
3

Multiply and simplify: x2 – x – = x2 – 3x.

A
–1
B
9
C
20
4

Solve for x: x = .

A
0.5
B
4.5
C
10
5

Based on the side-splitter theorem, which side length would complete the proportion?

Question illustration
A
JL
B
KL
C
NK
D
NM
6

♣:

A
AA similarity theorem
B
SAS similarity theorem
C
SSS similarity theorem
7

By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN.

A
KM/JN
B
NL/ML
C
NM/ML
8

slope of DE = = =

A
2c/a
B
0
C
undefined
9

Cross-multiply: (x – 5)() = x(x – 3).

A
x
B
x + 4
C
– 3
10

slope of BC =

A
2a
B
0
C
undefined
11

Therefore, because , DE ∥ BC.

A
the slopes are equal
B
the slopes are not equal
C
the slopes are negative reciprocals

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