Unit 10 - Transformations Review

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 5 units down and 5 units to the right?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The new coordinates will be (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The new coordinates will be (-x, y).

Front

What does it mean to rotate a figure?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is dilation in geometry?

Back

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

Front

How do you determine the translation vector from triangle ABC to triangle A'B'C'?

Back

You find the difference in coordinates between corresponding points of the triangles.

Front

What is the effect of a reflection across the x-axis on a trapezoid?

Back

The y-coordinates of the trapezoid's vertices will change sign.

Front

If a figure is translated 8 units down and 5 units to the right, what is the translation rule?

Back

The translation rule is (x + 5, y - 8).