l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig. 7.19). Show that ∆ ABC ≅ ∆ CDA.

Question

cdquestions Admin · Accepted Answer

In ∆ABC and ∆CDA, ∠BAC = ∠DCA (Alternate interior angles, as p || q)  AC = CA (Common) ∴ ∠BCA = ∠DAC (Alternate interior angles, as l || m)  ∴ ∠∆ABC ∆CDA (By ASA congruence rule)

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig. 7.19). Show that ∆ ABC ≅ ∆ CDA.

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions