Question

Prove Triangle ABC is congruent to Triangle CDA.

Answer 1

The triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

What is the similarity?

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In the given triangles we can see that:-

• Angle BAC is congruent to Angle DCA
• Angle B and Angle D are congruent.
• The two triangles are sharing common side which is AC.

Therefore we can see that the triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

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