Identify the equal parts in the following figure, given that ∠ABD = ∠DCA and ∠ACB = ∠DBC. Class 7
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Identify the equal parts in the following figure, given that ∠ABD = ∠DCA and ∠ACB = ∠DBC. Class 7
Question 1.
Identify the equal parts in the following figure, given that ∠ABD = ∠DCA and ∠ACB = ∠DBC. Class 7
Solution:
Other equal parts are ∠ABD + ∠DBC = ∠DCA + ∠ACB
i.e., ∠ABC = ∠DCB
and BC = CB
Question 2.
∆ABC and ∆XYZ are right-angled triangles such that BC = YZ = 4 cm, ∠B = ∠Y = 90° and AC = XZ = 5 cm. Are they congruent? Class 7
Solution:
Yes. (By RHS)
Question 3.
Can there exist non-congruent triangles having these measurements? Construct and find out. Class 7
Solution:
No. By actual construction, it can be checked.