Home
Class 9
MATHS
E and F are points on diagonal AC of a p...

E and F are points on diagonal AC of a parallelogram ABCD such that AE=CF. Show that BFDE is a parallelogram.

Text Solution

AI Generated Solution

To show that quadrilateral BFDE is a parallelogram given that E and F are points on diagonal AC of parallelogram ABCD such that AE = CF, we can follow these steps: ### Step 1: Draw the Parallelogram Draw parallelogram ABCD with points E and F on diagonal AC such that AE = CF. ### Step 2: Identify Points Label the points: - A (top left) ...
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|18 Videos

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise VERY SHORT ANSWER TYPE QUESTIONS|14 Videos

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.4 Long Answer type Questions|9 Videos

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM= CN. Prove that BMDN is a parallelogram.

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BY. Prove that squareAXCY is a parallelogram.

E is the mid-point of side AB and F is the mid point of side DC of parallelogram ABCD . Prove that AEFD is a parallelogram.

Point E\ a n d\ F lie on diagonals A C of a parallelogram A B C D such that A E=C Fdot What type of quadrilateral is B F D E ?

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP.

M and N are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CN is parallel to AM.

In triangle ABC, angle B is obtuse. D and E are mid-points of sides AB and BC respectively and F is a point on side AC such that EF is parallel to AB. Show that BEFD is a parallelogram.

O' is any point on diagonal AC of a parallelogram ABCD. Prove that : area of Delta AOD = " area of " Delta AOB

In a parallelogram ABCD, X and Y are points on diagonal BD such that DX=BY. Prove that AXCY is a parallelogram.

The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.