Similarity Test Review

Front

Choose the correct scale factor: 2, 3, 1/3, 1/2

Back

2

Answer explanation

The correct scale factor is 2, which means the dimensions of the object will be doubled. This choice increases the size proportionally, making it the right answer compared to the other options.

Front

Did the image enlarge, reduce or none of the above?

Back

Reduce

Answer explanation

The image reduced in size, indicating a decrease rather than an increase. Therefore, the correct answer is 'Reduce'.

Front

Determine if the triangles are similar and identify the triangle similarity theorem(s).

Back

SAS ~ Theorem

Answer explanation

The triangles are similar by the SAS (Side-Angle-Side) Theorem, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Back

AA ~ Theorem

Answer explanation

The triangles are similar by the AA ~ Theorem, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. This confirms the similarity based on angle congruence.

Front

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

Back

AA ~ Theorem

Answer explanation

The triangles are similar by the AA ~ Theorem, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. This confirms the similarity based on angle congruence.

Front

Determine if the triangles are similar. Identify the triangle similarity theorem(s) that prove(s) the similarity.

Back

SSS ~ Theorem

Answer explanation

The triangles are similar by the SSS (Side-Side-Side) Theorem, which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

Complete the similarity statement: △CED ~ _______

Back

△TVU

Answer explanation

The triangles △CED and △TVU are similar because their corresponding angles are equal. The correct order of vertices in the similarity statement is crucial, making △TVU the correct choice.

Front

Complete the similarity statement: △WYX ~ _______

Back

△YWZ

Answer explanation

The similarity statement △WYX ~ △YWZ is correct because the order of the vertices must match corresponding angles. Here, W corresponds to Y, Y to W, and X to Z, maintaining the correct angle relationships.

Front

Back

Reflexive Property

Front

Are the triangles in each pair similar? If so, how?

Back

Not Similar

Answer explanation

The triangles are not similar because they do not meet any of the similarity criteria (AA, SSS, SAS). Their corresponding angles and sides do not have the required proportional relationships.