CONGRUENCE 1A

In the figure below, prove that ΔABC and ΔCDA  are congruent. 

Solution

GIVEN: Quadrilateral ABCD,

                AD=BC,

                <BCA=<BCA

REQUIRED TO PROVE: ΔABC ≡ΔCDA.

PROOF:  AD=BC           (given)

                <BCA=<BCA   (given)

                 AC= CA          (common)

Hence, ΔABC ≡ΔCDA  (By SAS)

TRY THIS…………………

In the figure below, prove that ΔNPQ and ΔQNR are congruent.