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

Look at the rotations in the two figures and answer the questions below separately for each:
Direction of rotation? (clockwise/anti-clockwise)

Look at the rotations in the two figures and answer the questions below separately for each:
The point of rotation is _____.

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

The symbol is used to represent _____ triangles.

If then prove that .

These shapes are congruent.

Which of the following figures are congruent to the square .

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

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



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

$ \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}}$≅

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

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

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

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

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

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