TRANSFORMATIONS OF 2D SHAPES

Translation of 2D Shapes

A translation is transformation in which every point of figure moves a fixed distance in a given direction.

• Number of units of horizontal movements can be considered as "x".
• Number of units of vertical movements can be considered as "y".
• Translation vector will be in the form (x, y)

• If x is positive, then we have to move x units to the right→
• If x is negative, then we have to move x units to the left ←.
• If y is positive, then we have to move y units up ↑ .
• If y is negative, then we have to move y units down ↓.

Related Pages

• Translation of geometric figures
• Translation of geometric figures worksheet
• Problems on translation of 2D shapes
• Translation of 2D shapes worksheet
• Translating points on a coordinate plane
• Translating a point in the coordinate plane worksheet

Rotation of 2D Shapes

Rotating the shape means moving them around a fixed point. There are two directions

i) Clockwise 

ii) Counter clockwise (or) Anti clockwise

The shape itself stays exactly the same, but its position in the space will change.

Related Pages

• Rotation of 2D shapes
• Rotation in coordinate plane
• 90 degree rotation on a coordinate plane
• 90 degree rotation of 2D shapes worksheet
• Rules for 90 degree and 270 degree rotation
• 270 degree rotation on 2D shapes
• 90 degree rotation on a coordinate plane worksheet
• 270 degree rotation of 2D shapes worksheet
• Rotation of 2D shapes with given center of rotation
• Rotation of 2D shapes with center of rotation
• Rotation of 2D shapes practice problems

Reflection of 2D Shapes

The reflected image will be congruent to the original.

What is line of reflection ?

A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

Reflections can be performed easily in the coordinate plane using the general rules below.