Coordinate plane/Distance

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (5, 5) and (1, 5)?

Back

The distance is 4 units.

Front

How do you determine the distance between two points that have the same x-coordinate?

Back

The distance is the absolute difference between their y-coordinates.

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

The distance is 10 units.

Front

In which quadrant is the point (-1, -3) located?

Back

The point is located in Quadrant III.

Front

What does it mean for a point to be reflected over the x-axis?

Back

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

Front

What are the coordinates of the point reflected over the x-axis from (3, 4)?

Back

The reflected point is (3, -4).

Front

How can you identify the distance between two points on a horizontal line?

Back

The distance is the absolute difference between their x-coordinates.

Front

What is the significance of the distance formula in geometry?

Back

It allows us to calculate the straight-line distance between two points in a coordinate plane.

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

The distance is 4 units.