R/M_Flashcard #2 Part 1: Lesson 3.3 and 3.4 (Transformations)

Front

What is a translation in geometry?

Back

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

Front

What does it mean to rotate a shape?

Back

To rotate a shape means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns the shape to the right, moving each point to a new position that is 90 degrees around the center.

Front

How do you find the new coordinates of a point after a 90-degree clockwise rotation?

Back

For a point (x, y), the new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is dilation in geometry?

Back

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

Front

How do you calculate the coordinates of a point after dilation?

Back

To find the new coordinates after dilation, multiply each coordinate of the original point by the scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that determines how much a shape is enlarged or reduced during dilation.

Front

What does it mean for a shape to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the difference between translation and rotation?

Back

Translation moves a shape without changing its orientation, while rotation turns a shape around a point.

Front

How do you describe a translation of a shape?

Back

A translation can be described by the direction and distance each point of the shape moves.