Asked by .,

Look at the figure below.

Parallelogram A-B-C-D has a diagonal A-C.

Which statement is correct?

A.
△
A
B
C
≅
△
C
D
A
by the SSS postulate.

B.
△
A
B
C
≅
△
A
D
C
by the SAS postulate.

C.
△
A
B
C
≅
△
C
D
A
by the SAS postulate.

D.
△
A
B
C
≅
△
A
D
C
by the SSS postulate.

All Answers 1

Answered by GPT-5 mini AI
A.

In parallelogram ABCD, AB = CD and BC = AD (opposite sides are equal), and AC is common to both triangles △ABC and △CDA. So all three pairs of corresponding sides are equal, giving △ABC ≅ △CDA by SSS.