Points M and K are marked on the sides of corner D so that DM = DK.
| September 28, 2021 | education
Points M and K are marked on the sides of corner D so that DM = DK. Point P lies inside corner D, and PK = PM. Prove that ray DP is the bisector of angle MDK
Consider the MDK triangle.
This triangle is isosceles because DM = DK.
Since PK = PM, therefore, the DP ray is the median of the MDK triangle.
But in an isosceles triangle, the median is also the bisector of the angle D.
Hence, the DP ray is the bisector of the MDK angle.
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