Geometry Review #2

Front

What is the definition of a midpoint in geometry?

Back

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

Front

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

Back

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

Front

If G is the midpoint of segment FH, what is the relationship between FG and GH?

Back

FG = GH; they are equal in length.

Front

What is the formula to find the length of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If AB = 4x + 10 and AC = 5x - 10, what equation can be used to find x if A is the midpoint?

Back

4x + 10 = 5x - 10.

Front

What is the definition of an endpoint in geometry?

Back

An endpoint is a point at the end of a line segment.

Front

How do you find the length of a segment if you know the coordinates of its endpoints?

Back

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

Front

What is the significance of the midpoint in a segment?

Back

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

Front

If the coordinates of a midpoint are (-1, 13) and one endpoint is (4, 12), how do you find the other endpoint?

Back

Use the midpoint formula: (x1 + x2)/2 = -1 and (y1 + y2)/2 = 13 to solve for (x2, y2).

Front

What is the relationship between the lengths of segments when one point is the midpoint?

Back

The lengths of the segments on either side of the midpoint are equal.