Given the median QR and trapezoid MOPN, what is the value of x?
2 answers:
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Find the value of x.
SUM OF ANGLES ON STRAIGHT LINE = 180°
The correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.
<h3>What is congruency?</h3>The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
According to the SAS theorem which means Side Angle Side, The angle which is included between the two sides must be congruent.
Here we are given that
KL = NR
JL = MR
Now in the figure, we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.
So for the triangles to be congruent by SAS, angle L must be congruent to angle R.
∠L=∠R
Therefore the correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.
Learn more about congruency at
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