Home
Class 9
MATHS
In the following figure, F and E are poi...

In the following figure, F and E are points on the side AD of the triangle ABD. Through F a line is drawn parallel to AB to meet BD at point C .
Prove that : ar ` (Delta ACE ) = `ar (quad . BCEF )

Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise CIRCLE|7 Videos
  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise STATISTICS|5 Videos
  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise CONSTRUCTIONS OF POLYGONS |4 Videos
  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos
  • CIRCLE

    ICSE|Exercise EXERCISE 17(D)|12 Videos

Similar Questions

Explore conceptually related problems

X and Y are points on the side LN of the triangle LMN such that LX = XY = YN. Through X, a line is drawn parallel to LM to meet MN at Z (see figure). Prove that ar (DeltaLZY) = ar (MZYX) .

D and F are the mid-points of sides AB and AC of a triangle ABC. A line through F and parallel to AB meets BC at point E. Prove that BDFE is a parallelogram

D and F are the mid-points of sides AB and AC of a triangle ABC. A line through F and parallel to AB meets BC at point E. Find AB, if EF=4.8cm .

In triangle ABC, D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Prove that BDEF is a parallelogram. If AB = 16 cm, AC = 12 cm and BC = 18 cm, find the perimeter of the parallelogram BDEF.

In the adjoning figure, D and E are the points on the sides AB and AC respectively of Delta ABC and area of Delta BCE = " area of " Delta BCD . Prove that DE ||BC

In parallelogram ABCD, E is mid-point of CD and through D, a line is drawn parallel to EB to meet CB produced at point G and to cut AB at point F. Prove that : DG = 2EB

ABC is a triangle A line is drawn parallel to BC to meet AB and AC in D and E respectively. Prove that the median through A bisects DE.

E is the mid-point of the side AD of the tarapezium ABCD with AB||DC . A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-points of BC.

In triangle ABC, D and E are points on side AB such that AD = DE = EB. Through D and E, lines are drawn parallel to BC which meet side AC at points F and G respectively. Through F and Glines are drawn parallel to AB which meet side BC at points M and N respectively. Prove that : BM = MN = NC.

In parallelogram ABCD, E is mid-point of CD and through D, a line is drawr parallel to EB to meet CB produced at point G and to cut AB at point F. Prove that: 2 xx AD = GC