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Perpendicular Bisector

In the figure...

Question

In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.

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Solution

Given: ABCD is a square

Also, AM = MB = BN = CN = CO = OD = DP = PA

In ΔPAM and ΔMBN:

In ΔOCN and ΔMBN:

In ΔOCN and ΔPDO:

In ΔPAM and ΔPDO:

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