Question

Given: CA bisects BAD and B ≈ D.
Prove: ABC ≈ ADC.

Answer 1

To prove that ABC is congruent to ADC, we can use the fact that CA bisects BAD and B is congruent to D. Two pairs of congruent angles make the triangles congruent.

Step-by-step explanation:

To prove that ABC is congruent to ADC, we can use the fact that CA bisects BAD and B is congruent to D. Since CA bisects BAD, it means that angle CAB is congruent to angle CAD. And since B is congruent to D, it means that angle ABC is congruent to angle ADC. Therefore, we have two pairs of congruent angles, which makes triangles ABC and ADC congruent by angle-angle-angle (AAA) congruence.