Quadrilateral and triangle

Quadrilateral and triangle

1. GOVERNMENT COLLEGE OF TEACHER EDUCATION THYCAUD Prepared By RANI J Mathematics Option

2. QUADRILATERAL AND TRIANGLE

3. TRANSFORMING QUADRILATERAL TO TRIANGLE A B C D

4. DRAW DIAGONAL BD A B C D

5. EXTEND AB AT ‘E’ AND JOIN DE WE GET TRIANGLE BED A B E D C AREA OF TRIANGLE ABD + AREA OF TRIANGLE BED = AREA OF QUADRILATERAL ABCD = AREA OF TRIANGLE AED

6. AREA OF QUADRILATERAL ABCD = AREA OF TRIANGLE ABD + AREA OF TRIANGLE BED ie ., AREA OF TRIANGLE AED

7. HOW CAN WE SAY TRIANGLE BCD IS SAME AS TRIANGLE BED

8. DRAW PARALLEL OF BD THROUGH C A B C D

9. A B C D IF WE MARK A POINT ‘ P’ ON THIS PARALLEL LINE, THEN BY JOINING PD AND PB, WE GET TRIANGLE BPD HAVING SAME AREA AS OF TRIANGLE BCD P

10. TRIANGLE BPD HAVE SAME AREA AS TRIANGLE BCD THEREFORE AREA OF QUADRILATERAL ABCD = AREA OF QUADRILATERAL ABPD

11. A B C D E Extend AB so that it meet on the parallel at ‘E’ Join ED we get Triangle BED which is equal to Triangle BPD and T riangle BCD Area of Quadrilateral ABCD is equal to Area of Triangle AED

12. Quadrilateral ABCD is transformed to triangle AED A E B D C

13. T H A N K Y O U