Write a two column proof for the following...
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Write a two column proof for the following:
Given: M is the midpoint of ¯KP,(KP) ⃡∥(WT) ⃡, and ¯WT≅¯MP.
Prove: R is the midpoint of ¯KT.
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M is the midpoint of KP
MP and WT are congruent:
R is the midpoint of KT, that is:
Examine and (shaded triangles)
1. since given and
2. Alternate angles between parallel lines, Given .
3. Vertical angles are equal.
4. From 1,2 and 3: A pair of corresponding angles and a non- included side are equal.
Hence , since they are corresponding sides in congruent triangles.
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