Question

Which triangle congruence theorem is shown below?

B
A
O ASA
OSAS
O SSS
D
C
12

Answer 1

OPTION C SSS THEOREM

Given:

ABCD is a parallelogram

To Prove:

∆ ACB AND ∆ ACD ARE CONGRUENT

Solution:

AD=BC

AB=DC

AC=AC

Hence SSS congruence theorem is shown

Answer 2

SSS

Explanation:

Two corresponding sides have 1 mark to show they are congruent.

That is 1 pair of corresponding, congruent sides.

Now we have S.

Two other corresponding sides have 2 marks to show they are congruent.

That is one more pair of corresponding, congruent sides.

Now we have SS.

Finally, segment AC is congruent to itself. AC is a side of both triangles.

That is one more pair of corresponding, congruent sides.

Now we have SSS.

Answer: SSS