Question

From the diagram, what can you conclude about CAD?

A.) it’s an isosceles triangle
B.) it’s an equilateral triangle
C.) it’s an obtuse triangle
D.) it’s an equiangular triangle

Answer 1

A) it is an isosceles triangle.

Using ASA, we know that ΔABC and ΔADE are congruent. This means that side CA = DA. Since there are two equivalent sides, it is isosceles.

Answer 2

ΔCAD is isosceles triangle

Explanation:

Given the diagram in which BC=ED, ∠C=∠D and ∠B=∠E=90°

we have to conclude about the triangle CAD

In ΔABC and ΔAED

BC=ED (Given)

∠C=∠D (Given)

∠B=∠E=90° (Given)

By ASA rule, ΔABC ≅ ΔAED

By CPCT , AC=AD

The two sides of triangle CAD are equal implies

ΔCAD is isosceles triangle

Option A is correct