Prove OPR=QRP using a paragraph proof. (Write out the words for symbols. For example, write "Z" as "angle" and "x" as "congruent to.")

as per AAS congruence.

Step-by-step explanation:

We are given two triangles .

Side OP is parallel to Side QR.

OP || QR

To prove:

The two triangles are congruent i.e.

Solution:

Let us have a look at the triangles:

1. Given that .

2. Side OP || RQ so, because they are the alternate angles of parallel sides. (Alternate angels are equal when a line cuts two parallel sides).

3. Side PR is common to both the sides i.e. PR = RP

Hence, by AAS congruence i.e. two angles and a side which is not between the two angles are same.

as per AAS congruence.

goog may have it for you