Question

Complete the proof and rewrite the statements.

Given :
ABC is an isosceles triangle in which AC = BC
CD ⊥ AB
Prove : AD = BD
Statement Reason
i) AC = BC Given
ii) ԼCDA = _______ Right angle
iii) CD = CD Common side
iv) ΔADC ≅ Δ BDC _______ test
v) AD = BD CPCT

Answer 1

Explanation:

(ii) right angle becuase perpendicular

iv) congruent because <b=<a (opp ang in isc.tria. is equal)

since ΔADC ≅ Δ BDC, AB=BD