Special Proportional Theorems Triangles

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

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

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar

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

• equal

• congruent

• proportional

• none of these

Complete the similarity statement: △ADB ~ _______

• △ACE
  

• △AEC

• △EAC
  

• △ECA

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

• proportional; similar

• similar, proportional

• congruent; congruent

• equal; equilateral

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

• adjacent; intersect

• complementary; form

• adjacent; create

• proportional; included

Find the missing length.

• 21

• 18

• 16

• 24

Which proportion would be correct in order to solve for x.  

• x/10 = 15/30

• x/10 = 45/30

• x/10 = 15/45

• x/10 = 30/15

Select ANY correct proportion that can be used to solve for x.

According to the Triangle Angle Bisector Theorem, which proportion is set up correctly?

• All of the above