Question

in the quadrilateral a c equals to AD and AB bisects angle CAD .

1. state the three pairs of equal parts in triangle ABC and triangle ABD

2. is triangle ABC equals to triangle ABD? Give reason .

3. is BC equals to BD? Why?

4.is angle C equals to angle D? Why?

IMAGE OF THE QUESTION IS GIVEN..​

Answer 1

1.) In triangle ABC and triangle ABD

AC=AD (given)

AB=AB (common)

angle CAB= angle DAB (AB bisects Angle CAD)

therefore triangle ABC is congruent to triangle ABD by SAS axiom.

2.) yes Triangle ABC is equal to triangle ABD because they are congruent.

3.)BC is equal to BD by CPCTC ( corresponding part of the congruent triangle).

4.) Yes, angle c equals to angle d because they are the angles of two congruent triangles.