Question

!!!Please help!!! (See attachment)

Answer 1

Answer:

Given in figure ABCD:

∠ABD≅∠CBD

AB≅CB

To prove:

∠A≅∠C

Solution:

In the figure ABCD, we will first prove the Δ ABD and Δ CBD are congruent.

Thus the proof can be given as:

Statement                  Reason

1) $\angle ABD \cong \angle CBD$    Given

2) $AB\cong CB$             Given

3) $BD\cong BD$       Reflexive property of congruence (As the segment                                          is congruent to itself)

4) $\triangle ABD\cong \triangle CBD$    S.A.S (Side Angle side)

5) $\angle A\cong \angle C$   Corresponding parts of congruent triangles are congruent.

Hence proved.