Geometry Transformations Flashcard

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 (x, y) over the x-axis?

Back

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

Front

What are the coordinates of the point (-5, 3) reflected over the x-axis?

Back

(-5, -3)

Front

How do you reflect a point (x, y) over the y-axis?

Back

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

Front

What is the result of reflecting the point (1, 2) over the y-axis?

Back

(-1, 2)

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

If point B is at (2, 3) and is dilated by a scale factor of 2, what are the new coordinates?

Back

(4, 6)

Front

What is the scale factor in the transformation (x, y) → (3x, 3y)?

Back

3

Front

How do you reflect a point (x, y) over the line y = x?

Back

To reflect a point (x, y) over the line y = x, the new coordinates will be (y, x).

Front

What are the coordinates of the point (2, 7) reflected over the line y = x?

Back

(7, 2)