Transformations REVIEW

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

Define dilation in geometry.

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 in dilation?

Back

A scale factor between 0 and 1 reduces the figure.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

The algebraic representation is @@(x, y) ightarrow (2x, 2y)@@.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a fixed point, while reflection flips a figure over a line.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the area of a figure after dilation?

Back

The area of a figure after dilation is found by multiplying the original area by the square of the scale factor.

Front

If a triangle has an area of 20 units² and is dilated by a scale factor of 3, what is the new area?

Back

The new area is 180 units².