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1. PREPARED AND SUBMITTED BY Name: K Divya Roll no : 3319-23-701-019 Course: B.ED Subject: Mathematics Class: 9 th class College: VIVEKANANDA COLLEGE OF EDUCATION, SHADNAGAR

2. INTRODUCTION Good Morning Students How are you all

3. MOTIVATION Questions How many types of quadrilaterals do we have ? In a square are all sides equal or not ? Tell me the properties of a rectangle? In a parallelogram diagonal divides it into two equal congruent triangles are not ?

4. Brain Storming How many diagonals parallelogram has? In a parallelogramare are opposite sides equal are not? Sum of interior angles of a parallelogram

5. THEOREM IN A PARALLELOGRAM OPPOSITE SIDES ARE EQUAL

6. Lesson of Presentation Reading: Teacher asks the students to read page no: 180 related to the topic of Quadrilaterals theorem.

7. Conceptual Understanding Given: A parallelogram, ABCD and AC is its diagonal To Prove ∠ A= ∠ C and ∠ B= ∠ D Proof: In parallelogram ABCD Consider, (i)AD||BC and AB is transversal. ∠ A+ ∠ B=180 ° [Co.int Angels] (iI) Now consider AB||DC and BC is transversal ∠ B+ ∠ C=180 ° [co.int angels] (iii) From (i) and (ii) we get ∠ A+ ∠ B= ∠ B+ ∠ C, ∠ A= ∠ c, ∠ B= ∠ D Hence it is proved A B D c

8. Assignment Show that the diagnoals of a rhombus divide into four congruent triangles

9. Conclusion Students are able to understand under stand the Theorem and try to do problems on their own

10. References Wikipedia Text book

11. Evaluation What is a quadrilateral ? How many angels does a quadrialteral have ? Sum of interior angels of quadrilateral ? Diagnols of Parallelogram divides it into two congruent triangles In a parallelogram, are opposite sides are equal?

12. Thank you