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Question
`square`ABCD is trapezium, AB || CD diagonals of trapezium intersects in point P.
Write the answers of the following questions:
- Draw the figure using the given information.
- Write any one pair of alternate angles and opposite angles.
- Write the names of similar triangles with the test of similarity.
Solution
- Alternate angles: ∠BAP = ∠PCD ...(∵ AB || DC and BD is their transversal.)
Opposite angles: ∠APB = ∠CPD ...(Vertically opposite angles) - ΔAPB ∼ ΔCPD ...(AA test of similarity)
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