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).

Tags

CCSS.HSG.GPE.B.7

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).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The distance is 5 units.

Tags

CCSS.HSG.GPE.B.7

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.

Tags

CCSS.HSG.GPE.B.6

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).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The midpoint is (-1, 6).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The distance is approximately 8.06 units.

Tags

CCSS.HSG.GPE.B.7

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.

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The distance is approximately 7.07 units.

Tags

CCSS.HSG.GPE.B.7

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.