Performing 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 three main types of transformations?

Back

Translations, Reflections, and Rotations.

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 at a certain angle.

Front

How do you translate a point (x, y) 5 units left and 6 units up?

Back

Subtract 5 from x and add 6 to y: (x-5, y+6).

Front

If point J is at (3, 2), where is J' after translating 5 units left and 2 units up?

Back

J' is at (-2, 4).

Front

What is the result of reflecting the point (4, -3) over the x-axis?

Back

The reflected point is (4, 3).

Front

How do you determine the new coordinates after a rotation of 90 degrees counterclockwise around the origin?

Back

The new coordinates (x', y') are given by (-y, x).

Front

What is the effect of translating a shape 0 units left and 0 units up?

Back

The shape remains in the same position; there is no change.