Home
Class 12
MATHS
Prove that the segment joining the middl...

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Text Solution

Verified by Experts

The correct Answer is:
`EF=(1)/(2)(AB+DC)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Frequently Asked Questions (Example)|40 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar (Example)|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Examples: Prove that the segment joining the middle points of two non parallel sides od a trapezim is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the mid- points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

Prove that the line segment joining the mid points of two sides of a triangle is parallel to its third side.

The line joining the mid points of the diagonals of a trapezium is parallel to each of the parallel sides and equal to half of their difference

If two non-parallel sides of a trapezium are equal; it is cyclic.

If two non-parallel sides of a trapezium are equal; it is cyclic.

Prove that the line joining the middle points of the two sides of a triangle is parallel to the third side.

Prove that the line segment joining the middle points of two sides of a triangle is half the third side.

Show that the line segment which joins the midpooints of the oblique sides of a trapesium is parallel to the sides.