Question

Please help as soon as possible!!!!!!

Look at the parallelogram ABCD shown below:

The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:

Which choice completes the missing information for reason 5 in the chart? (6 points)


congruent parallelograms

congruent triangles

similar angles

similar triangles

Answer 1

5. Congruent triangles

Explanation:

Congruent Triangles : When two triangles are congruent, all its three sides are equal and have the same angles.

So in conguent traingles,

ΔADB ≅ BDC

Therefore, AB = DC and AD = BC

Thus this completes the missing information that proves that the quadrilateral ABCD ia a parallelogram, then its opposite sides are congruent.

Answer 2

congruent triangles

Explanation:

The complete reason is, "corresponding parts of congruent triangles are congruent." This reason is sometimes abbreviated CPCTC.

It can be helpful to note that the previous step concluded that the relevant triangles are congruent.