Evaluate mentally. [br][br]Is there enough information to determine if the pairs of triangles are congruent? [br][br]If so, what theorem(s) would you use? [br][br]If not, what additional piece of information could you use?

Evaluate mentally. [br][br]Is there enough information to determine if the pairs of triangles are congruent? [br][br]If so, what theorem(s) would you use? [br][br]If not, what additional piece of information could you use?

Evaluate mentally. [br][br]Is there enough information to determine if the pairs of triangles are congruent? [br][br]If so, what theorem(s) would you use? [br][br]If not, what additional piece of information could you use?

Evaluate mentally. [br][br]Is there enough information to determine if the pairs of triangles are congruent? [br][br]If so, what theorem(s) would you use? [br][br]If not, what additional piece of information could you use?

Andre remembers lots of ways to prove triangles congruent. He asks Clare, “Can we use Angle-Side-Angle to prove triangles are similar?”[br]Clare: “Sure, but we don’t need the Side part because Angle-Angle is enough to prove triangles are similar.”[br]Andre: “Hmm, what about Side-Angle-Side or Side-Side-Side? What if we don’t know 2 angles?”[br]Clare: “Oh! I don’t know. Let’s draw a picture and see if we can prove it.”[br]Andre: “Uh-oh. If ‘side’ means corresponding sides with the same length, then we’ll only get congruent triangles.”[br][list=1][*]What could ‘side’ stand for to prove triangles similar?[/*][*]Draw a diagram that would help you prove the Side-Angle-Side Triangle Similarity Theorem.[/*][*]Write a proof.[/*][/list]

Prove that these 2 triangles must be similar.