Transformations

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.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a 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 reflection in geometry?

Back

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

Front

Define dilation in geometry.

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during a dilation.

Front

How do you determine if two shapes are similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

Front

What happens to the coordinates of a point (x, y) when it is translated 6 units up?

Back

The new coordinates will be (x, y + 6).

Front

If triangle ABC is rotated 180 degrees around vertex C, how do the coordinates of point B change?

Back

The coordinates of point B will change based on the rotation, resulting in a new point B'.