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Isosceles Triangle Property of Equal Angles | PadhAiPro

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MCQ (Single)Isosceles Triangle Property of Equal Angles

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Similar Questions

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

TextIsosceles Triangle Property of Equal AnglesRHS Congruence Rule for Right Triangles

In △ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and △ ABC is isosceles.

ASA Congruence Rule for Triangles

Isosceles Triangle Property of Equal Angles

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.

TextSAS Congruence Rule for TrianglesIsosceles Triangle Property of Equal Angles

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠ B and ∠ C intersect each other at O. Join A to O. Show that: (i) OB = OC (ii) AO bisects ∠ A

CASE_STUDIESIsosceles Triangle Property of Equal AnglesConverse of Isosceles Triangle Theorem

In △ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that △ ABC is an isosceles triangle in which AB = AC.

TextSAS Congruence Rule for TrianglesIsosceles Triangle Property of Equal Angles

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

TextAAS Congruence Rule for TrianglesIsosceles Triangle Property of Equal Angles

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