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 a given direction.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is the effect of a translation of (x,y) to (x+a, y+b)?

Back

It moves the point (x,y) to a new position (x+a, y+b) by adding 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

How do you perform a reflection across the y-axis?

Back

To reflect a point (x,y) across the y-axis, the new point will be (-x,y).

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise?

Back

The coordinates (x,y) become (-y,x) after a 90-degree counterclockwise rotation.

Front

What is the rule for reflecting a point across the x-axis?

Back

To reflect a point (x,y) across the x-axis, the new point will be (x,-y).

Front

If a point (x,y) is translated 5 units left and 1 unit up, what is the new position?

Back

The new position will be (x-5, y+1).