Number Systems

8 Topics | 8 Quizzes
Polynomials

6 Topics | 8 Quizzes
Coordinate Geometry

3 Topics | 4 Quizzes
Linear Equations in Two Variables

5 Topics | 7 Quizzes
Introduction to Euclid’s Geometry

3 Topics | 4 Quizzes
Lines and Angles

7 Topics | 6 Quizzes
Triangles

5 Topics | 4 Quizzes
Quadrilaterals

5 Topics | 5 Quizzes
Areas of Parallelogram and Triangles

5 Topics | 4 Quizzes
Circles

5 Topics | 4 Quizzes
Constructions

4 Topics | 3 Quizzes
Heron’s Formula

4 Topics | 4 Quizzes
Surface Areas and Volumes

5 Topics | 2 Quizzes
Statistics

5 Topics | 2 Quizzes
Probability

3 Topics | 4 Quizzes
Lesson Progress

0% Complete

1. If a line segment joins the midpoints of the two sides of the triangle then it will be parallel to the third side of the triangle.

If AB = BC and CD = DE then BD || AE.

2. If a line starts from the midpoint of one line and that line is parallel to the third line then it will intersect the midpoint of the third line.

If D is the midpoint of AB and DE|| BC then E is the midpoint of AC.

**Example**

Prove that C is the midpoint of BF if ABFE is a trapezium and AB || EF.D is the midpoint of AE and EF || DC.

**Solution:**

Let BE cut DC at a point G.

Now in ∆AEB, D is the midpoint of AE and DG||AB.

By midpoint theorem, G is the midpoint of EB.

Again in ∆BEF, G is the midpoint of BE and GC||EF.

So, by midpoint theorem C is the midpoint of BF.

Hence proved.

Login

Accessing this course requires a login. Please enter your credentials below!