Question

Which of the following completes the proof?

Triangles ABC and EDC are formed from segments BD and AC, in which point C is between points B and D and point E is between points A and C.

Given: Segment AC is perpendicular to segment BD

Prove: ΔACB ~ ΔECD

Reflect ΔECD over segment AC. This establishes that ________. Then, ________. This establishes that ∠E′D′C′ ≅ ∠ABC. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.

∠ABC ≅ ∠E′D′C′; translate point E′ to point A
∠ACB ≅ ∠E′C′D′; translate point E′ to point B
∠ACB ≅ ∠E′C′D′; translate point D′ to point B
∠ABC ≅ ∠E′D′C′; translate point D′ to point A

Answer 1

[AI-generated answer — Bot GPT 3.5]

∠ABC ≅ ∠E′D′C′; translate point D′ to point A