Congruency of Shapes

IMPORTANT

Congruency of Shapes: Overview

This topic sheds light on the congruency of shapes in detail. It describes the notion of movement, rotation, and flip of an object. In addition, with the aid of various geometrical figures, we will learn about the angles and congruency of shapes.

Important Questions on Congruency of Shapes

HARD
IMPORTANT

The two triangles made by the diagonal of a parallelogram are always congruent to each other. Prove it

EASY
IMPORTANT

Look at the rotations in the two figures and answer the questions below separately for each:

Question Image

Direction of rotation? (clockwise/anti-clockwise)

EASY
IMPORTANT

Look at the rotations in the two figures and answer the questions below separately for each:

Question Image

The point of rotation is _____.

EASY
IMPORTANT

Question Image

Taking point 'M' to be the point of rotation, rotate the following figure anticlockwise by 30° of above image is 

Question Image

 

EASY
IMPORTANT

The symbol is used to represent _____ triangles.

HARD
IMPORTANT

If AB=DF, AC=DE & BE=FC then prove that ABCDFE.

Question Image 

EASY
IMPORTANT

These shapes are congruent.

Question Image

EASY
IMPORTANT

Which of the following figures are congruent to the square ABCD.

Question Image

EASY
IMPORTANT

How can two squares have the same angles but not be congruent?

EASY
IMPORTANT

Two squares are congruent if both of them have the same length of the _____.

EASY
IMPORTANT

P is the midpoint of a line segment MN. If MP = 5 cm, find the length of PN.

Question Image

EASY
IMPORTANT

Question Image

$ \overline{\text{AB}}$ and $ \overline{\text{CG}}$ are two line segments whose lengths are given in cms. The line segment $ \overline{\text{CG}}$ is divided into different segments.

$ \overline{\text{AB}}$≅

 

 

MEDIUM
IMPORTANT

Question Image

In the triangle ADC, which line segment is $ \overline{\text{AD}}$ congruent to ?

EASY
IMPORTANT

Question Image

Length of the line segment $ \overline{\text{AC}}$ is 8 cm. B is the midpoint of the line segment. The length of $ \overline{\text{AB}}$ is

EASY
IMPORTANT

Question Image

How many line segments are possible using 3 points in a line, where any two of the points are end points?

 

 

EASY
IMPORTANT

Question Image

The maximum number of line segments that can be drawn using 3 points with any two of the points as end points is

EASY
IMPORTANT

Question Image

The number of line segments that can be drawn through two points M and N is

EASY
IMPORTANT

Question Image

The number of line segments that can be drawn through the point A is