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# Proof involving congruent triangles

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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 Â¯KP,(KP) âƒ¡âˆ¥(WT) âƒ¡, and Â¯WTâ‰…Â¯MP.
Prove: R is the midpoint of Â¯KT.

https://brainmass.com/math/triangles/proof-involving-congruent-triangles-473804

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Given:
Parallel lines:
(1.1)
M is the midpoint of KP
(1.2)
MP and WT are congruent:
(1.3)
Prove:
R is the midpoint of KT, that is:
(1.4)

â€ƒ
Proof:
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.

QED

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