Question

prove that the dioganal of an isosceles Trapazium are equal​

Answer 1

Answer:

Given: Isosceles trapezoid ABCD with segment AB ≅ segment DC

Prove: segment AC ≅ segment BD

Since the trapezoid is isosceles, the base angles are congruent.

Therefore, ∠CBA ≅ ∠BCD

Furthermore, segment BC ≅ to segment BC by the reflexive property of congruence.

By SAS Postulate, triangle ABC ≅ triangle DCB.

Therefore, segment AC ≅ segment BD