Semester Review - Module 1

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.

Front

If R is the midpoint of segment QS, and QS = 34, what is the length of segment QR?

Back

QR = 17, since the midpoint divides the segment into two equal parts.

Front

How do you find the midpoint of two points (x1, y1) and (x2, y2)?

Back

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

Front

Given points A(-4, 2) and midpoint M(8, 7), how do you find the other endpoint B?

Back

Use the formula B = (2M - A). In this case, B = (20, 12).

Front

What is the formula to find the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

Front

If AB = 11 and BC = 22, what is the total length AC?

Back

AC = AB + BC = 11 + 22 = 33.

Front

What does it mean for a point to be a 'coordinate' in a Cartesian plane?

Back

A coordinate is a set of values that show an exact position on a two-dimensional plane, represented as (x, y).

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What is the significance of the coordinates of a midpoint?

Back

The coordinates of a midpoint represent the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Front

If the coordinates of point A are (3, 4) and point B are (5, 6), what is the midpoint?

Back

Midpoint M = ((3 + 5)/2, (4 + 6)/2) = (4, 5).