Question

Give example of ASA congruency rule. (not defination)
give right answer and quickly with pure explaination of the example.​

Answer 1

Answer:

Example : For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC.

ASA Congruence Rule Example for Δ ABC with bisector AD

Solution:

In ΔABD and ΔACD,

∠ BAD = ∠ CAD (Given)

AD = AD (Common)

∠ ADB = ∠ ADC = 90° (Given)

Thus, Δ ABD ≅ Δ ACD (ASA rule)

Therefore, AB = AC (CPCT)

Also, this condition satisfies the properties of the isosceles triangles, thus, Δ ABC is an isosceles triangle.