MEDIUM
9th Manipur Board
IMPORTANT
Earn 100

Prove that any line segment drawn from a vertex of a triangle to a point on the opposite side, is bisected by the segment joining the middle points of the other two sides.

Important Questions on Quadrilaterals

MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 2
Prove that the quadrilateral formed by joining the midpoints of the sides of a rhombus is a rectangle.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 3
If there are three parallel lines and the intercepts made by them on a transversal are equal in length, prove that the intercepts on any other transversal are equal in length, prove that the intercepts on any other transversal are also equal in length.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 4
In △ABC, D, E and F are midpoints of the sides AB, BC and CA respectively. Show that △ABC is divided into four congruent triangles by joining D, E and  F.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 5
ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 6
ABCD is a trapezium in which AB∥DC, BD is a diagonal and E is the midpoint of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the midpoint of BC.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 7
Show that the line segment joining the midpoints of the opposite sides of a quadrilateral bisect each other.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 8
ABC is a triangle right-angled at C. A line through the midpoint M of the hypotenuse AB and parallel to BC intersects AC at D. Show that D is midpoint of AC.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 8 - Quadrilaterals>EXERCISE 8.2>Q 8
ABC is a triangle right-angled at C. A line through the mid-point M of the hypotenuse AB and parallel to BC intersects AC at D. Show that MD⊥AC.