if triangle ABC is congruent to triangle PQR then which of the following is not true
a)BC=QR
b)CA=RP
c)BA=RQ
d)AB=PQ
Answers
Answered by
4
Answer:
The incorrect option is (c) BA = RQ
Answered by
0
Answer:
c)BA=RQ
Given that,
→ ∆ABC ≅ ∆PQR .
Solution
we know that, when two ∆'s are congruent ,
The three related sides and angles have identical lengths on all three.
So,
→ AB = PQ
→ BC = QR
→ CA=RP
and,
→ ∠A = ∠P
→ ∠B = ∠Q
→ ∠C = ∠R
now, checking given options we get,
a)BC=QR
True.
b)CA=RP
True.
c) BA=RQ
False.
AB is equal to PQ and QR is equal to BC .
d) AB = PQ
True.
Therefore, we can conclude that, Option (c) BA=RQ is not true.
Note: Congruent triangles
One of four requirements must be satisfied for two triangles to be congruent.
- Each of the three sides is equal (SSS: side, side, side)
- A comparable side and two angles are the same (ASA: angle, side, angle)
- Both the angle between the two sides and the two sides' dimensions are equal (SAS: side, angle, side)
- The hypotenuse, the matching side, and a right angle are all equal (RHS, right angle, hypotenuse, side)
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