Similarity and Transformations

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are proportional.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translation, rotation, reflection, and dilation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape. It is defined by a center point and a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What is a translation in geometry?

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What transformations keep figures congruent?

Back

Transformations that keep figures congruent include translation, reflection, and rotation.

Front

What is the rule for dilation with a scale factor of 2?

Back

The rule for dilation with a scale factor of 2 is (x, y) → (2x, 2y).

Front

If a triangle has a side length of 4 units and undergoes a dilation with a scale factor of 2, what will the new side length be?

Back

8 units.