Establishing Triangle Similarity Criteria

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, SSS

• Yes, AA

• Yes, SAS

• Not similar

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

Pick the correct Similarity Statement for the Triangles shown.

• ΔABC ~ ΔPRQ

• ΔABC ~ ΔPQR

• ΔCBA ~ ΔPRQ

• ΔACB ~ ΔQRP

Pick the correct Similarity Statement for the Triangles Shown.

• ΔABC ~ ΔXYZ

• ΔACB ~ ΔYZX

• ΔCAB ~ ΔZXY

• ΔABC ~ ΔZXY

Given the two triangles are similar, which side is corresponding to PR?

• DE

• EF

• DF

• FD

Which side is corresponding to 18?

• 5

• 6

• 7

• 15

Determine if the two figures are similar or not using common ratios.

• No, the ratios between corresponding sides are different.

• No, because the sides aren't equal.

• Yes, because all the ratios are 4 to 1

• Yes, because all the ratios are 8 to 1

Given that the two triangles are similar, which side is corresponding to PQ?

• EF

• DE

• DF

• FE

Find the scale factor (common ratio) between the two triangles.

• 3/2

• 1

• 9/4

• 4/9

Which side is corresponding to 7?

• 15

• 18

• 21

• 5