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.
| December 16, 2020 | 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 MDK.
Here you need to use the axiom that in an isosceles triangle (and our triangle MDK is isosceles) the median is both the bisector and the height. The median here will be DP. It is median because MR = RK. Hence, returning to the axiom, DP is a bisector.
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