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Rd sharma solutions
Congruence | Congruence Exercise 16.2
Question 7
Δ ABC and ΔABD are on a common base AB, and AC = BD and BC = AD as shown in
Fig. 18. Which of the following statements is true?
(i) ΔABC ≅ ΔABD
(ii) ΔABC ≅ ΔADB
(iii) ΔABC ≅ ΔBAD
In ΔABC and ΔBAD we have,
AC = BD (given) BC = AD (given)
And AB = BA (corresponding parts of congruent triangles)
Therefore by SSS criterion of congruency, ΔABC ≅ ΔBAD
Therefore option (iii) is true.
Question 7
Δ ABC and ΔABD are on a common base AB, and AC = BD and BC = AD as shown in
Fig. 18. Which of the following statements is true?
(i) ΔABC ≅ ΔABD
(ii) ΔABC ≅ ΔADB
(iii) ΔABC ≅ ΔBAD
In ΔABC and ΔBAD we have,
AC = BD (given) BC = AD (given)
And AB = BA (corresponding parts of congruent triangles)
Therefore by SSS criterion of congruency, ΔABC ≅ ΔBAD
Therefore option (iii) is true.
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