FLASHCARD-Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define dilation in geometry.

Back

Dilation is a transformation that alters the size of a shape but keeps its proportions the same. It is defined by 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 shape is enlarged or reduced during a dilation. A scale factor greater than 1 indicates enlargement, while a scale factor less than 1 indicates reduction.

Front

How do you find the image of a point under dilation?

Back

To find the image of a point under dilation, multiply the coordinates of the point by the scale factor.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What does it mean to reflect a shape across an axis?

Back

Reflecting a shape across an axis means flipping the shape over that axis, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The coordinates of the point (x, y) become (y, -x) after a 90-degree clockwise rotation.

Front

What happens to a shape when it is translated 4 units left and 5 units down?

Back

Each point of the shape moves 4 units to the left and 5 units down, changing its coordinates accordingly.

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The coordinates of the point become (x, -y) after reflecting across the x-axis.