Question

Look at the figure.

Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ABC.

Answer 1

@ivettef365 @campbell_st

Answer 2

@Chu~Luv~You2019

Answer 3

both triangles ABC and ABD share the same angle which is angle A. both triangles have a 45 degree angle. both triangles share the same side AB. ASA postulate. therefore you can prove that:
ΔABD≈ΔACB

Answer 4

Ooh. Thank you. But. It's gotta be a two column proof, lovey.

Answer 5

hmm .. 1. Angle A is congruent to Angle A 1. Reflexive Property of Congruence 2. m<ABD = 45 2. Given 3. m<ACB = 45 3. Given 4. Angle ABD is congruent to Angle ACB 4. Definition of Congruent Angles 5. Triangle ABD ~ Triangle ABC 5. AA Triangle Similarity Postulate. I hope this helped!! >.<

Answer 6

Thank youuu(:

Answer 7

lol np ^^

Answer 8

*huggle*

Answer 9

lol