Semester Review - Module 1

Front

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

Back

The midpoint M is given by M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right).

Tags

CCSS.HSG.GPE.B.6

Front

Find the midpoint between the points (3, -1) and (7, -5).

Back

The midpoint is (5, -3).

Tags

CCSS.HSG.GPE.B.6

Front

If A is one endpoint of a line segment and M is the midpoint, how can you find the other endpoint B?

Back

Use the formula B = (2M - A).

Tags

CCSS.HSG.GPE.B.6

Front

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

Back

The distance d is given by d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}.

Tags

CCSS.HSG.GPE.B.7

Front

If R is the midpoint of segment QS, how do you find the length of segment QS?

Back

The length of segment QS is twice the distance from R to either endpoint.

Tags

CCSS.HSG.GPE.B.6

Front

What is the definition of a midpoint?

Back

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

Tags

CCSS.HSG.CO.A.1

Front

How do you calculate the coordinates of the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The coordinates are calculated as \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right).

Tags

CCSS.HSG.GPE.B.6

Front

Find the other endpoint of the line segment with endpoint A(-4, 2) and midpoint M(8, 7).

Back

The other endpoint is (20, 12).

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.

Tags

CCSS.HSG.GPE.B.6

Front

If the coordinates of the midpoint are (5, -3), what could be one possible pair of endpoints?

Back

One possible pair of endpoints could be (3, -5) and (7, -1).

Tags

CCSS.HSG.GPE.B.6