Reflections and Distance in the Coordinate plane

Front

When you reflect over the x-axis, the _________ coordinate changes to its opposite.

Back

y

Front

What is Point A (3, 5) reflected over the x-axis?

Back

A'(3, -5)

Front

What is point D (4, -5) reflected over both axes?

Back

D'(-4, 5)

Front

Find the distance between (-3, 4) and (-3, -8).

Back

12 units

Front

What is the distance between points (-7, 8) and (2, 8)?

Back

9 units

Front

What happens to the x-coordinate when reflecting over the y-axis?

Back

It remains the same.

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If a point (a, b) is reflected over the y-axis, what are the coordinates of the reflected point?

Back

(-a, b)

Front

If a point (a, b) is reflected over the x-axis, what are the coordinates of the reflected point?

Back

(a, -b)

Front

What is the distance between points (0, 0) and (3, 4)?

Back

5 units