Unit 9 Review - Transformations

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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

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 specified direction.

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate: the new point is (x + a, y + b).

Front

What is the result of translating point A(-2, 4) by (1, -2)?

Back

The new coordinate of A after translation is A'(-1, 2).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, either enlarging or reducing it.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What does the transformation T(x, y) → (x + 2, y - 3) represent?

Back

This transformation represents a translation 2 units to the right and 3 units down.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line, changing its orientation.

Front

How do you perform a dilation on a point (x, y) with a scale factor k?

Back

To perform a dilation on a point (x, y) with a scale factor k, multiply both coordinates by k: the new point is (kx, ky).