AnswersGeometryRelationships of Triangles: Similarity and Trigonometry

Relationships of Triangles: Similarity and Trigonometry — Test Answers

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Why is the information in the diagram enough to determine that triangle LMN approximates triangle PON using a rotation about point cap n and a dilation?

A
because one pair of congruent corresponding angles is sufficient to determine similar triangles
B
because both triangles appear to be equilateral
C
because angle MNL and angle ONP are congruent angles
D
because both triangles appear to be isosceles, angle MNL is congruent to angle ONP , and angle NOP is congruent to angle OPN
22
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Which value of y would make OP is parallel to LN ?

A
16
B
32
C
24
D
36
23

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

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

What is the length of line segment AC ?

A
12 ft
B
4 ft
C
18 ft
D
3 ft
25

What are the coordinates of the endpoints of the segment cap t prime cap v prime ?

A
cap t prime times open paren negative 3 comma 6 close paren and cap v prime times open paren 0 comma 1 close paren
B
cap t prime times open paren negative 1 comma 2 close paren and cap v prime times open paren 0 comma 3 close paren
C
cap t prime times open paren negative 3 comma 6 close paren and cap v prime times open paren 0 comma 3 close paren
D
cap t prime times open paren negative 1 comma 2 close paren and cap v prime times open paren 0 comma 1 close paren

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