Applying Congruency and/or Similarity to Solve Problems

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Answer explanation

The ratio of the short sides is 12/3 which means you divide the large triangle by 4 to find the length of the smaller triangle. 20/4 = 5

Tags

CCSS.HSG.SRT.A.2

These figures are similar.  Solve for x.

• 3

• 5

• 4

• 2

Tags

CCSS.HSG.SRT.A.2

The triangles above are similar.

Solve for PR.

(Your answer should be a decimal.)

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.B.5

The pair of polygons is similar. Find the missing side measure.

• 3 units

• 3.4 units

• 2.7 units

• 4 units

Tags

CCSS.HSG.SRT.A.2

If the triangles are similar, state how.

• SSS

• SAS

• AA

• Not similar.

Tags

CCSS.HSG.SRT.B.5

Find x.

• 20 m

• 24 m

• 16 m

• 4 m

Tags

CCSS.HSG.SRT.A.2

How do these triangles appear to be similar?

• AA

• SAS

• SSS

• Not Similar

Tags

CCSS.HSG.SRT.B.5

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• Not Similar

Tags

CCSS.HSG.SRT.B.5

Using (SSS, AA, SAS) can you determine must be similar? If so, explain why.

• Yes, by SSS

• Yes, by AA

• Yes, by SAS

• There is not enough information to prove similarity

Tags

CCSS.HSG.SRT.B.5

Which triangle has SAS with this triangle?

• 
• 
• 

Tags

CCSS.HSG.SRT.B.5