In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.

Question

TextSAS Congruence Rule for TrianglesIsosceles Triangle Property of Equal AnglesNCERT Textbook

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Which of the following is not a criterion for congruence of triangles?

Congruence of Triangles

SAS Congruence Rule for Triangles

ASA Congruence Rule for Triangles

SSS Congruence Rule for Triangles

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AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see Fig. 7.16). Show that △ ABC ≅ △ ABD. What can you say about BC and BD?