Distance and Reflections

Front

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

Back

The distance between two points on a number line is the absolute value of the difference between the two numbers.

Front

How do you calculate the distance between -2 and 6 on a number line?

Back

Distance = |6 - (-2)| = |6 + 2| = |8| = 8.

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

If point D (5, -1) is reflected over the x-axis, what is the new point?

Back

D' (5, 1).

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 (5, 12) is reflected over the y-axis, what is the new point?

Back

(-5, 12).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the length of the shortest side of a rectangle with sides 3 units and 4 units?

Back

3 units.

Front

How do you find the distance between -7 and 9 on a number line?

Back

Distance = |9 - (-7)| = |9 + 7| = |16| = 16.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.