Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right angled triangles A^'P'B' and C'Q'D' are formed as shown in the figures below such that A'P' = AP, B'P' = BP, C'Q' = CP, D'Q' = DP and  A'P'B' = 90° = C'Q'D'.

1. A'P'B' and C'Q'D' are similar triangles but need not be congruent.

2. A'P'B' and C'Q'D' are congruent triangles.

3. A'P'B' and C'Q'D' are triangles of same area.

4. A'P'B' and C'Q'D' are triangles of same perimeter.

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