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7nadin3 [17]
3 years ago
8

Question 13 of 25

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0
The answer to this question is D
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Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.
AleksandrR [38]

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ    ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, TS = \frac{1}{2} QR

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, TU = \frac{1}{2} PR

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

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What is 8 divided by 645 in 5th grade
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Write the following ratio using two other notations. 7 to 6
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7:6 and 7/6. hope this helps.
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Construct a polynomial function with the following properties: fifth degree, 5 is a zero of multiplicity 4, −4 is the only other
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5(x-5)^4(x+4)
you raise x-5 to the 4th power because 5 has a multiplicity of 4
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Which inequality represents this statement?
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Answer: the last one!! n\leq 5

Step-by-step explanation:

When there is a line under it means no more than!

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2 years ago
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