Question

Select the correct statement about the triangles in the following figure.

• A. △PRQ≅△PRS and △PRQ≅△RYS
• B. △PRQ≅△PRS and △PRQ≅△TYX
• C. △PRS≅△RYS
• D. △PRQ≅△RYS

Answer 1

The correct option is B △PRQ≅△PRS and △PRQ≅△TYX

Considering △PRQ and △PRS, we observe:


Both △PRQ and △PRS are similar in size and shape.

△PRQ is getting reflected along y-axis to form △PRS.

So, △PRQ≅△PRS

Now considering △PRQ and △TYX, we observe:


Both △PRQ and △TXY are similar in size and shape.

△PRQ is getting translated 2 units to form △TXY.

So, △PRQ≅△TXY.

∴ Option (B) is correct.