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## When a transformation maintains the same size and shape?

Two objects are **congruent** if they are the same size and shape. We can also define objects as congruent if we can move one object to obtain the other object through a congruence transformation, one that doesn’t change the size or shape of an object.

## What transformation keeps a shape similar?

To find the scale factor, use the lengths of corresponding sides, set up a ratio and divide. **Dilation transformations** ensure that the shape will stay the same and that corresponding angles will be congruent.

## Which transformation results in a figure that is similar in size and shape?

**A symmetry transformation** produces an image that is identical in size and shape to the original figure.

## What transformation does not change the size or shape?

A geometry transformation is either rigid or non-rigid; another word for a rigid transformation is “**isometry**“. An isometry, such as a rotation, translation, or reflection, does not change the size or shape of the figure. A dilation is not an isometry since it either shrinks or enlarges a figure.

## Which transformation does not preserve size?

( Isometric means that the transformation doesn’t change the size or shape of the figure.) A fourth type of transformation, a **dilation** , is not isometric: it preserves the shape of the figure but not its size.

## Are the size and shape of a figure preserved under the following transformations?

**Translation**: Translation is a type of transformation which is used to describe a function that moves an object a certain distance. In this transformation, dimensions of the figure is always preserved. Therefore, In Reflection, rotation and translation, dimensions of the figure are always preserved.

## Which transformations do not preserve orientation of the figure?

**Reflection** does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.

## What are figures that have the same shape but different sizes?

Figures that are the same shape but different in size are **similar**.

## Which shape is similar to the shape Stuvw?

**Pentagon JKLMN** is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, then the value of ST is 3.75 units.