Transformations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates after a translation, add the translation values to the original coordinates. For example, if a point (x, y) is translated by (a, b), the new coordinates will be (x + a, y + b).

Front

What are the coordinates of point H(–6, 2) after translating 4 units up and 3 units right?

Back

The new coordinates are (-3, 6).

Front

What is dilation in geometry?

Back

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

Front

How do you calculate the scale factor in dilation?

Back

The scale factor is calculated by dividing the distance from the center of dilation to the image point by the distance from the center to the original point.

Front

What is the scale factor if point A(3, 5) is dilated to A’(6, 10)?

Back

The scale factor is 2.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What are the coordinates of point N(6, –5) after reflecting across the x-axis?

Back

The new coordinates are (6, 5).

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

How do you perform a translation of a point?

Back

To translate a point, add the translation values to the x and y coordinates of the point.