Triangle Similarity: SSS and SAS — Quiz Answers

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61
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Which statement is true?

A
The given sides and angles can be used to show similarity by the SAS similarity theorem only.
B
The given sides and angles cannot be used to show similarity by either the SSS or SAS similarity theorems.
C
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
D
The given sides and angles can be used to show similarity by the SSS similarity theorem only.
62
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Which would prove that triangle cap A cap b cap c approximates triangle cap x cap y cap z ? Choose two correct answers.

A
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap A cap c and denominator cap y cap z is equal to the fraction with numerator cap b cap c and denominator cap x cap z
B
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z comma angle cap c is congruent to angle cap z
C
the fraction with numerator cap b cap c and denominator cap x cap y is equal to the fraction with numerator cap b cap A and denominator cap z cap x comma angle cap c is congruent to angle cap x
D
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z is equal to the fraction with numerator cap A cap c and denominator cap x cap z
E
the fraction with numerator cap A cap c and denominator cap x cap z is equal to the fraction with numerator cap b cap A and denominator cap y cap x comma angle cap A is congruent to angle cap x
63

What other information is needed to prove that triangle cap f cap g cap e approximates triangle cap i cap j cap h by the SAS similarity theorem?

A
angle cap e is congruent to angle cap h
B
angle cap g is congruent to angle i
C
angle cap i is congruent to angle cap f
D
angle cap f is congruent to angle cap j
64

Which statement is true?

A
The triangles are similar by the SSS similarity theorem.
B
The triangles are not similar, but they are congruent.
C
The triangles are neither similar nor congruent.
D
The triangles are similar by the SAS similarity theorem.
65

Which statement is true?

A
The given sides and angles cannot be used to show similarity by either the SSS or SAS similarity theorems.
B
The given sides and angles can be used to show similarity by the SSS similarity theorem only.
C
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
D
The given sides and angles can be used to show similarity by the SAS similarity theorem only.
66

Which ratio is also equal to the fraction with numerator cap r cap t and denominator cap r cap x and the fraction with numerator cap r cap s and denominator cap r cap y ?

A
the fraction with numerator cap x cap y and denominator cap t cap s
B
the fraction with numerator cap r cap x and denominator cap x cap t
C
the fraction with numerator cap s cap y and denominator cap r cap y
D
the fraction with numerator cap s cap t and denominator cap y cap x
67

To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that

A
angle cap i measures 30 degrees .
B
angle cap i measures 60 degrees .
C
angle cap j measures 30 degrees .
D
angle cap j measures 60 degrees .
68

Which ratio is also equal to the fraction with numerator cap r cap t and denominator cap r cap x and the fraction with numerator cap r cap s and denominator cap r cap y ?

A
the fraction with numerator cap r cap x and denominator cap x cap t
B
the fraction with numerator cap s cap y and denominator cap r cap y
C
the fraction with numerator cap s cap t and denominator cap y cap x
D
the fraction with numerator cap x cap y and denominator cap t cap s
69

Which would prove that triangle cap A cap b cap c approximates triangle cap x cap y cap z ? Choose two correct answers.

A
the fraction with numerator cap b cap c and denominator cap x cap y is equal to the fraction with numerator cap b cap A and denominator cap z cap x comma angle cap c is congruent to angle cap x
B
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z is equal to the fraction with numerator cap A cap c and denominator cap x cap z
C
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z comma angle cap c is congruent to angle cap z
D
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap A cap c and denominator cap y cap z is equal to the fraction with numerator cap b cap c and denominator cap x cap z
E
the fraction with numerator cap A cap c and denominator cap x cap z is equal to the fraction with numerator cap b cap A and denominator cap y cap x comma angle cap A is congruent to angle cap x

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