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The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).
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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
