Midpoint Formula

Front

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

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the midpoint of the points (2, 3) and (4, 7).

Back

The midpoint is (3, 5).

Tags

CCSS.HSG.GPE.B.6

Front

What does the term 'congruent segments' mean in relation to midpoints?

Back

Congruent segments are segments that have the same length. A midpoint divides a segment into two congruent segments.

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the segment with endpoints (0, 0) and (10, 10).

Back

The midpoint is (5, 5).

Tags

CCSS.HSG.GPE.B.6

Front

If the endpoints of a segment are (a, b) and (c, d), what are the coordinates of the midpoint?

Back

The coordinates of the midpoint are ((a + c)/2, (b + d)/2).

Tags

CCSS.HSG.GPE.B.6

Front

What is the x-coordinate of the midpoint between (8, 2) and (2, 6)?

Back

The x-coordinate is 5.

Tags

CCSS.HSG.GPE.B.6

Front

What is the y-coordinate of the midpoint between (3, 4) and (7, 8)?

Back

The y-coordinate is 6.

Tags

CCSS.HSG.GPE.B.6

Front

True or False: The midpoint of a segment is always located at the same distance from both endpoints.

Back

True.

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint of the line segment with endpoints (-1, -1) and (3, 3).

Back

The midpoint is (1, 1).

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it represents the center point of a line segment, dividing it into two equal parts.

Tags

CCSS.HSG.GPE.B.6