Triangle Similarity

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If two figures are similar their angles are______.

• proportional
• congruent
• supplementary
• complementary

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

You are given two triangles and the information that the three pairs of corresponding angles are congruent. What other information do you need to conclude that the triangles are similar?

• That one pair of corresponding sides have the same measure

• That three pair of corresponding sides are proportional

• That three pair of corresponding sides have the same measure

• no additional information is needed

Tags

CCSS.7.G.A.2

CCSS.7.RP.A.2

An equilateral triangle is dilated by a factor of   $\frac{1}{3}$ .   If a side of the original triangle is 6, what is the measure of a side of the new triangle?

• 2

• 9

• 12

• 18

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

 $\Delta DEF$  is similar to  $\Delta GHI$  and the measure of  $\angle E$   is  $58\degree$ . What is the measure of  $\angle H\ ?$  

•  $32\degree$  

•  $58\degree$  

•  $122\degree$  

•  $61\degree$  

Tags

CCSS.7.G.B.5

What is the scale factor of  $\Delta RPQ$  to  $\Delta VAQ$  ?

• 2:1

• 2:3

• 3:4

• 1:2

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Are the triangles similar?

• Yes
• No

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar? If so, state how you know and complete the similarity statement:

• not similar

• similar by AA; $\Delta KLM\ \sim\ \Delta DEK$

• similar by AA; $\Delta KLM\ \sim\ \Delta KED$

• similar by SAS; $\Delta KLM\ \sim\ \Delta KDE$

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What similarity theorem lets you conclude that  $\Delta XQP\ \sim\ \Delta XYZ$  

• NOT SIMILAR

• AA

• SAS

• SSS

Tags

CCSS.7.G.A.2

CCSS.7.RP.A.2

Find the missing side using proportions.

• a

• b

• c

• d

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3