Distance and Reflections

Front

What is the distance between two points on a number line?

Back

The distance is the absolute difference between the two points' values.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

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

Front

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

Back

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

Front

If point A is at (3, 4), what is its reflection over the x-axis?

Back

(3, -4)

Front

If point B is at (-2, 5), what is its reflection over the y-axis?

Back

(2, 5)

Front

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

Back

9 units

Front

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

Back

5 units

Front

If you reflect the point C (5, -1) over the x-axis, what is the reflected point?

Back

(5, 1)

Front

What is the distance between -2 and 6 on a number line?

Back

8