NCERT Solutions Ganita Prakash (Part 2) Chapter 1 Figure it Out (3)

Identify whether the triangles below are congruent. What conditions did you use to establish their congruence? Express the congruence.

GiventhatCDandABareparallel,andAB=CD,whataretheother equalpartsinthisfigure?(Hint: When the lines are parallel, the alternate angles are equal. Are the two resulting triangles congruent? Ifso,expressthecongruence.)

Given that ∠ABC = ∠DBC and ∠ACB = ∠DCB, show that ∠BAC = ∠BDC. Are the two triangles congruent?

Identify the equal parts in the following figure, given that ∠ABD = ∠DCA and ∠ACB = ∠DBC.