In the given figure PQ `||` RS , prove that `Delta POQ~Delta SOR.`

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In the given figure PQ & RS are two parallel tangents to a circle o and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that angleAOB = 90^@

In the figure, PR || RC and QR || BD . Prove that PQ || CD .

In the given figure PQ || RS, angleMXQ= 135^(@) and angleMYR = 40^(@) , find angleXMY.

The equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of the triangles on the other two sides. OR In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y

In the given Figure , PQ and RS are two mirrors placed parallel to each other . An incident ray AB striker the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB|| CD.

In the given figure, PR gt PQ and PS bisect angleQPR . Prove that: anglePSR gt anglePSQ

In the figure PR and QS are two diameters. Is PQ = RS?

In the adjacent figure ABCD is a square and Delta APB is an equilateral triangle. Prove that DeltaAPD ~= DeltaBPC .