Given: S, T, and U are midpoints of RP , PQ , and QR respectively. Prove: RUTS is a parallelogram.
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Answer:
RUTS is a parallelogram. The proof is given below
Step-by-step explanation:
From the figure attached with this shows that,
S, T, and U are midpoints of RP , PQ , and QR respectively.
Therefore these 3 points divide all the sides are in same ratio
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side
Therefore UT parallel to RP , S is a point on RP,
therefore UT RS
Similarly, RU ST
Therefore RUTS is a parallelogram.
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