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In the following diagramHL andKT intersect at the midpoint of HL. Classify the following statement as true or false.

KTis a bisector of LH.

Short Answer

Expert verified

The statement 鈥KT is a bisector of LH鈥 is true.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of midpoint.

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Here the statement LMMHimplies that the length of the line segmentLM is equal to the length of the line segmentMH such that LM=MH.

03

Step 3. Step description.

AsHLandKTintersect at the midpoint ofHLand that intersection point is M, thusMis the midpoint of HL.

SinceMis the midpoint thus this implies thatKT bisects LH.

Therefore, the statement KTbisectsLH is true.

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