Theorems on Parallelograms Ch-8 Class-IX Explanation of all theorems on Parallelograms chapter 8 class IX, Theorem 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, Mid point theorem and its converse. All theorems of chapter 8 class IX. Theorem 8.1: Prove that a diagonal of a parallelogram divides it into two congruent triangles. Given: In Parallelogram ABCD, AC is the diagonal To Prove: △ACD ≌ △ABC Proof: In △ACD and △ABC, ∠1 = ∠2 ......... (Alternate angles ∠3 = ∠4 .......... (Alternate interior angles AC = AC ........ (Common Sides ⇒ By ASA ≌ rule △ACD ≌ △ABC Theorem 8.2: In a parallelogram, opposite sides are equal. Given: ABCD is a parallelogram To Prove : AB = CD and BC = AD Proof: In △ ACD and △ ABC, ∠ 1 = ∠ 2 ......... (Alternate angles ∠ 3 = ∠ 4 .......... (Alternate interior angles AC = AC ........ ...
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Mathematics Lab Manual Class XII 14 lab activities for class 12 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers. General instructions All these activities are strictly according to the CBSE syllabus. Students need to complete atleast 12 activity from the list of 14 activities. Students can make their own selection.