Congruent Triangles | Class 7, Class 8 | CBSE ICSE IGCSE
Below topics are covered in this lecture: 00:00 What is Congruency? 07:50 Rules of Congruency 12:40 Altitude, Perpendicular 15:30 Median 16:42 Angle Bisector 18:10 Side bisectors 18:45 Isoceles triangle 19:14 Scalene triangle 19:48 Right Triangle 21:00 SSS 29:10 SAS 35:50 ASA 38:45 Ex7.2solutions 51:07 RHS
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Ex 7.2 Class 9 Maths
Question 1. In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at 0. Join A to 0. Show that (i) OB = OC (ii) AO bisects ∠A
Ex 7.2 Class 9 Maths Question 2. In ∆ABC, AD is the perpendicular bisector of BC (see figure). Show that ∆ ABC is an isosceles triangle in which AB = AC.
Ex 7.2 Class 9 Maths Question 3. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see figure). Show that these altitudes are equal.
Ex 7.2 Class 9 Maths Question 5. ABC and DBC are isosceles triangles on the same base BC (see figure). Show that ∠ ABD = ∠ACD.
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Class 9 NCERT Solutions- Chapter 7 Triangles – Exercise 7.1
Question 1. 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?
Question 3. AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.
Question 2. ABCD is a quadrilateral in which AD = BC and ∠ DAB = ∠ CBA (see Fig. 7.17). Prove that
(i) ∆ ABD ≅ ∆ BAC
(ii) BD = AC
(iii) ∠ ABD = ∠ BAC.
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congruent triangles properties rhs congruence rule congruent triangles meaning sas congruent triangles angle angle side aas congruence rule sss congruence rule sas math
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