Proving Triangle Similar by AA, SAS or SSS Theorems

Name the theorems for proving triangles similar. List all that apply.

• SAS

• HL

• AA

• AAS

• SSS

Given these 3 sides of a triangle, find 3 sides that would create a similar triangle: 3, 4, 5.

• 6, 8, 12

• 9, 12, 15

• 1, 2, 3

• 2, 2.5, 5

Given these 3 sides of a triangle, find 3 sides that would create a similar triangle: 4, 5, 10.

• 6, 8, 12

• 9, 12, 15

• 1, 2, 3

• 2, 2.5, 5

Given these 3 sides of a triangle, find 3 sides that would create a similar triangle: 3, 4, 6.

• 6, 8, 12

• 9, 12, 15

• 1, 2, 3

• 2, 2.5, 5

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

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

• x = 12

• x = 3

• x = 40

• x = 4

If DE=6 then BC = ?

• 12

• 3

• 2x

• .5x

Find the value of x

• 14.7

• 49.5

• 22

• 18

There are 3 similarity theorems/postulates: SSS, SAS, and AA. By what thm/post are these triangles similar?

• ⊿BCA ~ ⊿EDF by SSS ~ thm

• ⊿BCA ~ ⊿EFD by SSS ~ thm

• ⊿BCA ~ ⊿EFD by AA ~ thm

• ⊿BCA ~ ⊿DFE by SSS ~ thm

What conclusion can you make?

• AC corresponds to EF

• AC corresponds to DF

• AC ≅ ED

• ∠B≅∠A