Proportions and Reasoning

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

_{Line AB corresponds with what line?} 

• XZ

• XY

• YZ

• YX

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they have the same shape and the same angles

• No, the ratio of corresponding sides are not equal 

• Yes, same shape

• No, different sizes

Which side is corresponding to 18?

• 5

• 6

• 7

• 15

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

Solve the proportion:

• 15

• 5

• 10

• 12