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In This Video :
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Q1. 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
Q2. In ΔABC, AD is the perpendicular bisector of BC (See adjacent figure). Show that ΔABC is an isosceles triangle in which AB = AC.
Q3. ABC is an isosceles triangle in which altitudes BD and CE are drawn to equal sides AC and AB respectively (see figure) Show that these altitudes are equal.
Q4. ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that
(i) ΔABD ≅ ΔACE
(ii) AB = AC i.e., ABC is an isosceles triangle.
Q5. ΔABC and ΔDBC are two isosceles triangles on the same base BC (see figure). Show that ∠ ABD = ∠ACD.
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Introduction To Triangles
Criteria For Congruence Of Triangles
Congruence Of Triangles
Axioms
Congruence Rules
Theorems
Sas Congruence Rule
Theorem 7.1 (Asa Congruence Rule)
Exercise - 7.1
Some Properties Of A Triangle
Theorem-7.2 ( Sas Congruency Rule )
Theorem-7.3 (Asa Congruency Rule )
Exercise - 7.2
Some More Criteria For Congruency Of Triangles
Theorem 7.4 (Sss Congruence Rule)
Theorem 7.5 (Rhs Congruence Rule)
Exercise - 7.3
Inequalities In A Triangle
Theorem-7.6 (Rhs Congruence Rule)
Theorem -7.7 (Rhs Congruence Rule)
Theorem-7.8 (Rhs Congruence Rule)
Exercise - 7.4
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