8.10C Reflections and Translations Practice

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 algebraic representation for reflecting a point (x, y) over the x-axis?

Back

(x, y) --> (x, -y)

Front

What is the algebraic representation for reflecting a point (x, y) over the y-axis?

Back

(x, y) --> (-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 given direction.

Front

What is the algebraic representation for translating a point (x, y) 3 units to the right and 2 units up?

Back

(x, y) --> (x+3, y+2)

Front

What is the algebraic representation for translating a point (x, y) 3 units to the left and 5 units down?

Back

(x, y) --> (x-3, y-5)

Front

If point A(2, 3) is reflected over the x-axis, what are the coordinates of A'?

Back

A'(2, -3)

Front

If point B(-4, 1) is reflected over the y-axis, what are the coordinates of B'?

Back

B'(4, 1)

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The y-coordinate remains the same, and the x-coordinate changes sign.