Triangle Similarity: AA — Quiz Answers

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triangle XYZ was reflected over a vertical line, then dilated by a scale factor of 1 half , resulting in triangle cap x prime cap y prime cap z prime Which must be true of the two triangles? Choose three correct answers.

A
triangle XYZ approximates triangle cap x prime cap y prime cap z prime
B
angle XZY is congruent to angle cap y prime cap z prime cap x prime
C
line segment YX is congruent to line segment cap y prime cap x prime
D
XZ is equal to 2X prime cap z prime
E
m angle YXZ is equal to 2 m angle cap y prime cap x prime cap z prime
25

Which composition of transformations will create a pair of similar, not congruent triangles?

A
a translation, then a rotation
B
a rotation, then a dilation
C
a reflection, then a translation
D
a rotation, then a reflection
26

Which diagram can be used to prove triangle ABC approximates triangle DEC using similarity transformations?

A
Image with description Triangles A B C and C E D have different angle measures.
B
Image with description Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
C
Image with description Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
D
Image with description Triangles A B C and C E D have different angle measures.
27

Which transformations could be performed to show that triangle ABC is similar to triangle cap A double prime cap b double prime cap c double prime ?

A
a 180 degrees rotation about the origin, then a dilation by a scale factor of 3
B
a 180 degrees rotation about the origin, then a dilation by a scale factor of 1 third
C
a reflection over the x -axis, then a dilation by a scale factor of 3
D
a reflection over the x -axis, then a dilation by a scale factor of 1 third
29

Which diagram could be used to prove triangle ABC approximates triangle DEC using similarity transformations?

A
Image with description Triangles A B C and D E C are connected at a common point C.
B
Image with description Triangle A B C is reflected across side A C and then is dilated to form smaller triangle D C E.
C
Image with description Triangle A B C is reflected, translated to the left, and then is dilated to form triangle D C E.
D
Image with description Triangles A B C and D E C are shown. The measure of angles for both triangles is different.
31

What are the coordinates of point cap s double prime ?

A
open paren 9 halves comma negative 3 halves close paren
B
open paren negative 15 halves comma 0 close paren
C
open paren negative 9 halves comma 15 halves close paren
D
open paren negative 3 halves comma 9 halves close paren
32

Which must be true in order for the relationship triangle ZYX approximates triangle WVU to be correct?

A
angle cap z is congruent to angle cap w and angle cap x is congruent to angle cap u
B
angle cap z is congruent to angle cap y and angle cap w is congruent to angle cap v
C
line segment ZY is parallel to line segment YX and line segment WV is parallel to line segment VU
D
line segment ZY is parallel to line segment WV
35

In the diagram, m angle cap A is equal to 55 degrees and m angle cap e is equal to 35 degrees Which best explains the relationship between triangle ACB and triangle DCE ?

A
The triangles are similar because all pairs of corresponding angles are congruent.
B
The triangles are similar because all right triangles can be mapped to each other using a series of transformations.
C
The triangles are not similar because only one pair of corresponding angles is congruent.
D
The triangles are not similar because they share a common segment and vertex.
37

Which piece of additional information can be used to prove triangle CEA approximates triangle CDB ?

A
triangle BDC is a right triangle.
B
angle DBC is congruent to angle DCB
C
line segment AE is congruent to line segment ED
D
angle BDC and angle AED are right angles.
38

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 rotation and a dilation
B
a reflection and a dilation
C
a rotation and a reflection
D
a translation and a dilation
39

Which composition of transformations will create a pair of similar, not congruent triangles?

A
a translation, then a rotation
B
a rotation, then a reflection
C
a rotation, then a dilation
D
a reflection, then a translation
40

Which transformations could be performed to show that triangle ABC is similar to triangle cap A double prime cap b double prime cap c double prime ?

A
a reflection over the x -axis, then a dilation by a scale factor of 3
B
a 180 degrees rotation about the origin, then a dilation by a scale factor of 1 third
C
a 180 degrees rotation about the origin, then a dilation by a scale factor of 3
D
a reflection over the x -axis, then a dilation by a scale factor of 1 third

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