Reflections

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 find the reflection of a point across the x-axis?

Back

To find the reflection of a point (x, y) across the x-axis, change the sign of the y-coordinate to get (x, -y).

Front

What is the reflection of the point A(3, 4) across the x-axis?

Back

A'(3, -4)

Front

How do you find the reflection of a point across the y-axis?

Back

To find the reflection of a point (x, y) across the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

What is the reflection of the point B(-2, 5) across the y-axis?

Back

B'(2, 5)

Front

What is the reflection of a point across the line y = x?

Back

To reflect a point (x, y) across the line y = x, swap the coordinates to get (y, x).

Front

What is the reflection of the point C(4, -3) across the line y = x?

Back

C'(-3, 4)

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What does the graph of y = 5 look like?

Back

It is a horizontal line that crosses the y-axis at 5.

Front

What is the reflection of the point D(1, 2) across the line y = -x?

Back

D'(-2, -1)