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Option (B) Proves that QR ≅ QR by the reflexive property is correct because QR is the common side of two triangles.
Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have given two triangles PQR and SQR
As we can see,
Angle QRP = Angle QRS
They both are right-angle triangles.
∠QRP = ∠QRS (both are right angles)
ASA means—Angle-Side-Angle
∠PQR = ∠SQR (given in the figure)
QR = QR (common side of two triangles)
Thus, option (B) Proves that QR ≅ QR by the reflexive property is correct because QR is the common side of two triangles.
Learn more about the congruent triangle here:
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Rewritten by : Barada
In triangle ΔPQR & ΔSQR,
∠QRP = ∠QRS (both are right angles)
∠PQR = ∠SQR
We need to prove that, QR = QR (Using Reflexive property )
The reflexive property of congruence is used to prove congruence of geometric figures. This property is used when a figure is congruent to itself. Angles, line segments, and geometric figures can be congruent to themselves.
So, option B is correct
