Question 173264: Given: H is the midpoint of segment DK and segment PG.
Prove: Segment DG is congruent to segment KP Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website! angle DHG is congruent to angle KHP because opposite angles of intersecting lines are congruent (the two intersecting lines are DK and PG with the intersection point at H).
DH is congruent to HK because midpoint of a line segment creates two equal line segments.
GH is congruent to HP because midpoint of a line segment creates two equal line segments.
triangle DHG is congruent to triangle KHP by SAS (side angle side) postulate.
DG is congruent to PK because corresponding parts of congruent triangles are congruent.
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