G-GPE.4 & G-GPE.6 Test Review

Front

What is the distance formula in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint of a line segment with endpoints A(x1, y1) and B(x2, y2)?

Back

The midpoint M is calculated as: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

Find the distance between the points (2, 3) and (5, 7).

Back

The distance is 5 units.

Front

What is the definition of a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If point N is the midpoint of line segment CD, and C has coordinates (1, 9), what is the formula to find the coordinates of point D?

Back

If N(x, y) is the midpoint, then D can be found using: D = (2x - x1, 2y - y1) where C is (x1, y1).

Front

Calculate the midpoint of the segment with endpoints (-3, 4) and (1, 8).

Back

The midpoint is (-1, 6).

Front

What is the distance between points J(2, 3) and K(10, 7)?

Back

The distance is approximately 8.06 units.

Front

How do you determine the coordinates of a point that is halfway between two given points?

Back

Add the x-coordinates and divide by 2 for the x-coordinate of the midpoint, and do the same for the y-coordinates.

Front

Find the distance between the points (-1, -1) and (4, 4).

Back

The distance is approximately 7.07 units.

Front

What is the significance of the distance formula in real-world applications?

Back

The distance formula is used in various fields such as navigation, architecture, and computer graphics to calculate distances between points.