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

Front

What is the midpoint formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

If the midpoint of a segment is (7, -9) and one endpoint is (-4, 5), how do you find the other endpoint?

Back

Use the midpoint formula: (x2, y2) = (2*midpoint_x - x1, 2*midpoint_y - y1).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points (3, 4) and (7, 1).

Back

Distance = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the definition of a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

How do you find the distance between two points on a coordinate plane?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the coordinates in a coordinate plane?

Back

Coordinates represent the position of a point in relation to the x-axis and y-axis.

Front

What is the formula to find the coordinates of the point halfway between two points?

Back

Halfway point = ((x1 + x2)/2, (y1 + y2)/2).

Front

If the coordinates of two points are (3, -1) and (8, -6), what is the halfway point?

Back

Halfway point = ((3 + 8)/2, (-1 - 6)/2) = (5.5, -3.5).

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.