Name: Problem Based on Midpoint Theorem
Uploaded: 2019-07-19
Duration: 5 min 16 s
Description: The line segment in a triangle joining the midpoint of two sides of the triangle is parallel to its third side and is also half of the length of the third side.

Question

You have read about many types of quadrilaterals. Identify which of them are parallelograms.

Accepted Answer

Different types of quadrilaterals and its properties

Rectangle:

The opposite sides are parallel and equal to each other.

Each interior angle is equal to $90 °$ .

The diagonals bisect each other.

Square:

Each interior angle is equal to $90 °$ .

All sides of a square are equal and parallel to each other.

Diagonals bisect each other perpendicularly.

Parallelogram:

Opposite sides are equal in measure.

Opposite angels are equal in measure.

Consecutive angles are supplementary $(180 °)$ .

The diagonals of a parallelogram bisect each other.

Rhombus:

All sides of the rhombus are equal.

The opposite sides of a rhombus are parallel.

Opposite angles of a rhombus are equal.

In a rhombus, diagonals bisect each other at right angles.

Trapezium:

One pair of opposite sides are parallel.

Clearly, Every Rectangle, Square and Rhombus are parallelograms with two pairs of opposite sides are parallel.

Chhattisgarh Board Solutions for Exercise 4: Think and Discuss

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Exercise 4: Think and Discuss

Questions from Chhattisgarh Board Solutions for Exercise 4: Think and Discuss with Hints & Solutions

Learn and Prepare for any exam you want !