Question

Given: CAI BC, DA 1 DB, and BC ABD

Prove: Triangle CAB is congruent to Triangle DAB

A) True
B) False

Answer 1

To prove that Triangle CAB is congruent to Triangle DAB, we can use the ASA (Angle-Side-Angle) congruence theorem by showing that the angles and sides of the triangles are equal. So, the correct answer is A) True.

Step-by-step explanation:

To prove that Triangle CAB is congruent to Triangle DAB, we can use the ASA (Angle-Side-Angle) congruence theorem.

First, we can see that angle CAB is congruent to angle DAB because they are vertical angles (opposite angles formed by intersecting lines).

Next, we know that side CA is congruent to side DA because they are given to be equal in the question.

Finally, side BC is congruent to side DB because they are given to be equal in the question as well.

Since we have two pairs of congruent angles and one pair of congruent sides, Triangle CAB is congruent to Triangle DAB by the ASA congruence theorem.

Therefore, the statement is A) True.