Maths-
General
Easy

Question

From the given figures, find by which criteria the two triangles ABC and PQR are congruent.
In the figure XY = PZ. Prove that XZ = PY.
In the figure XY = PZ. Prove that XZ = PY.

Hint:

Find the missing angle and find the congruence rule used.

The correct answer is: ASA congruence rule


    In ΔABC, We have
    straight angle B A C equals 180 minus left parenthesis 70 plus 30 right parenthesis equals 80 to the power of ring operator( Sum of interior angles of a triangle is 180)
    Likewise, In ΔPQR, We have
    straight angle P Q R equals 180 minus left parenthesis 70 plus 80 right parenthesis equals 30 to the power of ring operator( Sum of interior angles of a triangle is 180)
    If we consider ΔABC and ΔPQR, we have
    AB = RQ
    straight angle C A B equals straight angle P R O equals 80 to the power of ring operator
    straight angle C B A equals straight angle P Q R equals 30 to the power of ring operator(from the figure)
    So, by ASA congruence rule we have
    ΔABC⩭ ΔRQP

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