Home
Class 9
MATHS
P is a point on the side B C of a ...

`P` is a point on the side `B C` of a triangle `A B C` such that `A B=A Pdot` Through `A\ a n d\ C ,\ ` lines are drawn parallel to `B C\ a n d\ P A ,` respectively, so as to intersect at `D` as shown in Figure. Show that `A B C D` is a cyclic quadrilateral.

Promotional Banner

Similar Questions

Explore conceptually related problems

P is a point on the side B C of a triangle A B C such that A B=A P . Through A\ a n d\ C ,\ lines are drawn parallel to B C\ a n d\ P A , respectively, so as to intersect at D as shown in Figure. Show that A B C D is a cyclic quadrilateral.

P is a point on the side B C of a triangle A B C such that A B=A Pdot Through A and C, lines are drawn parallel to B C and P A , respectively, so as to intersect at D as shown in Figure. Show that A B C D is a cyclic quadrilateral.

P is a point on the side BC of a triangle ABC . such that AB=AP .Through A and C, lines are drawn parallel to BC and PA , respectively,so as to intersect at D as shown in Figure.Show that ABCD is a cyclic quadrilateral.

P is a point on the side BC of a triangle ABC . such that AB=AP. Through A and C, lines are drawn parallel to BC and PA , respectively,so as to intersect at D as shown in Figure.Show that ABCD is a cyclic quadrilateral.

A B C is a triangle and through A ,\ B ,\ C lines are drawn parallel to B C ,\ C A\ a n d\ A B respectively intersecting at P ,\ Q\ a n d\ R . Prove that the perimeter of P Q R is double the perimeter of A B C

A B C is a triangle and through A ,\ B ,\ C lines are drawn parallel to B C ,\ C A\ a n d\ A B respectively intersecting at P ,\ Q\ a n d\ R . Prove that the perimeter of P Q R is double the perimeter of A B C

l\ a n d\ m are two parallel lines intersected by another pair of parallel lines p\ a n d\ q as shown in figure. Show that A B C~= C D A

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P to B C intersects F E\ at Q . Prove that A Q=Q P .

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P\ to\ B C intersects F E\ at Qdot Prove that A Q=Q P

In Figure, A B\ a n d\ C D are two chords of a circle, intersecting each other at P such that A P=C P . Show that A B=C D .