Question

1. In rectangle ABCD, BD is the diagonal. Examine if triangle ABD is congruent to triangle CDB. Write
congruence of corresponding sides.​

Answer 1

Answer:

Since

A

B

C

D

is rectangle, the following relationships of congruence are true:

A

B

≅

C

D

A

D

≅

B

C

∠

A

B

C

≅

∠

B

C

D

≅

∠

C

D

A

≅

∠

D

A

B

=

90

o

Therefore,

Δ

A

B

C

≅

Δ

A

B

D

as right triangles with congruent catheti

B

C

and

A

D

and shared cathetus

A

B

.

From congruence of these triangles follow the congruence of their hypotenuses

A

C

and

B

D

.

Answer 2

Answer:

yes sss. (b) yes (dab=cab