Question

`square`ABCD is trapezium, AB || CD diagonals of trapezium intersects in point P.

Write the answers of the following questions:

1. Draw the figure using the given information.
2. Write any one pair of alternate angles and opposite angles.
3. Write the names of similar triangles with the test of similarity.

Answer 1

1. 
   
2. Alternate angles: ∠BAP = ∠PCD   ...(∵ AB || DC and BD is their transversal.)
   Opposite angles: ∠APB = ∠CPD   ...(Vertically opposite angles)
3. ΔAPB ∼ ΔCPD   ...(AA test of similarity)