You are taking a multiple-choice test that has 10 questions. each of the questions has four answer choices, with one correct ans
1 answer:
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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,
Hence, TS = QU (U is the midpoint QR) ⇒ equation 2
Also by Midpoint theorem;
TU║PR
Also,
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
When you divide a fraction by another fraction, it is the same thing as multiplying that fraction by its reciprocal.
The reciprocal is the 'flipped' version of a fraction where the numerator becomes the denominator and the denominator becomes the numerator.
for example, the reciprocal of 9/10 is 10/9
Knowing this information 4/5÷9/10 is the same as 4/5×10/9
Now we can solve...
Answer= 8/9
The reciprocal is the 'flipped' version of a fraction where the numerator becomes the denominator and the denominator becomes the numerator.
for example, the reciprocal of 9/10 is 10/9
Knowing this information 4/5÷9/10 is the same as 4/5×10/9
Now we can solve...
Answer= 8/9