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Question Number 212986 by MrGaster last updated on 27/Oct/24

Commented by MrGaster last updated on 27/Oct/24

A, B are two fixed points on the same side of the line PQ. M is a moving point on PQ. When (|AM|+|BM|) is minimized, prove: angle AMP = angle BMQ

Answered by mr W last updated on 29/Oct/24

Commented by mr W last updated on 29/Oct/24

$$BM=B^{\prime }M$$$$AM+BM=AM+B^{\prime }M,whichis$$$$minimalwhenA,M,B^{\prime }areonthe$$$$samestraight.inthiscase\alpha =\beta .$$

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