Home
Class 9
MATHS
overset(harr)("AB ") and overset(harr)("...

`overset(harr)("AB ") and overset(harr)("DC ")` are two parallel lines and a transversal l, intersects `overset(harr)("AB ")` at P and `overset(harr)("DC ")` at R. Prove that the bisectors of the interior angles form a rectangle.

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT GUJARATI|Exercise THINK, DISCUSS AND WRITE|2 Videos

  • QUADRILATERALS

    NCERT GUJARATI|Exercise TRY THIS|1 Videos

  • PROOFS IN MATHEMATICS

    NCERT GUJARATI|Exercise EXERCISE - 15.4|15 Videos

  • REAL NUMBERS

    NCERT GUJARATI|Exercise EXERCISE - 1.4|37 Videos

Similar Questions

Explore conceptually related problems

Two parallel lines l and m are intersected by a transversal p (see the given figure). Show that the quadrilateral formed by the bisector of interior angles is a rectangle.

If a transversal intersects two parallel lines, then prove that each pair of alternate interior angles is equal.

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively intersecting at P, Q and R. Prove that the perimeter of DeltaPQR is double the perimeter of DeltaABC.

In triangle ABC, the bisectors of angle B and angle C intersect at I. A line drawn through I and parallel to BC intersects AB at P and AC at Q. Prove that PQ = BP + CQ.

l, m and n are three parallel lines intersected by transversals р and q such that l , m and n cut off equal intercepts AB and BC on p (see the given figure). Show that l, m and n cut off equal intercepts DE and EF on q also.

l, m and n are three parallel lines intersected by the transversals p and q at A, B, C and D,E, F such that they make equal intercepts AB and BC on the transversal p. Show that the intercepts DE and EF on q are also equal.

In the given figure, AB and DC are both perpendicular to line segment AD. BC intersects AD at P and P is the midpoint of AD. Prove that, ( 1 ) AB = CD ( 2 ) P is the midpoint of BC.