ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that D is the mid-point of AC.

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD _|_ AC .

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that CM = MA = 1/2 AB .

ABCD is a trapezium, in which AB||DC are a diagonal and E is the mid point of AD. A is drawn through E, parallel to AB intersect BC at F. Show that F is the mid point of BC

The line drawn through the mid-points of one side of a triangle, parallel to another side, intersects the third side at its midpoint.

In right triangle ABC, right angled at C, M is the mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM. point D is joined to point B. show that triangleDBCequivtriangleACB

In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (See Fig.) Show that : angleDBC is a right angle.

In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (See Fig. ) Show that : angleDBC is a right angle.