MATH SOLVE

3 months ago

Q:
# Name the postulate or theorem you can use to prove ADE=EBA?

Accepted Solution

A:

Answer:(c) Δ ADE ≅ Δ EBA by AAS TheoremStep-by-step explanation:Here, in Δ ACEAC = CE (given)Also, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.⇒ ∠E = ∠A ..... (1)Now, in Δ ADE and Δ EBA ∠E = ∠A (from above) ∠ADE = ∠ABC ( right angle) AE = AE (common side)hence, Δ ADE ≅ Δ EBA by AAS TheoremAs, by AAS Theorem (ANGLE ANGLE SIDE) Two triangle said said to be congruent if 2 angles and 1 side of one triangle is equal to 2 corresponding angles and 1 corresponding side of the other triangle.Hence, Δ ADE ≅ Δ EBA by AAS Theorem