Complete the statement.
Q
S
If QP – QR , then Z
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If line QP is congruent to line QR, then angle PQR ≅ PRQ.
In parallelogram PQSR, the opposite sides and angles are equal. When line QP is congruent to line QR, it implies that the opposite sides PQ and QR are equal. In parallelograms, opposite angles formed by intersecting lines are congruent. Therefore, angle PQR and angle PRQ are congruent due to the equality of their corresponding sides.
In summary, if line QP is congruent to line QR in parallelogram PQSR, then angle PQR is congruent to angle PRQ. This relationship highlights the geometric properties of parallelograms, emphasizing the symmetry and equality of opposite angles when corresponding sides are congruent.
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