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

17 (Since R divides QS into two equal segments, QR = QS/2 = 34/2 = 17).

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

(5,-3).

Front

What is a weighted average?

Back

A weighted average is an average that takes into account the relative importance or weight of each value.

Front

Find the weighted average of points A (-3) and B (9) with weights 2 and 3 respectively.

Back

4.2.

Front

What is the formula to find the other endpoint of a line segment given one endpoint and the midpoint?

Back

If A is one endpoint and M is the midpoint, then the other endpoint B can be found using B = (2M - A).

Front

Given A(-4, 2) and M(8, 7), find the other endpoint B.

Back

(20, 12).

Front

What is the process to solve for x in an equation?

Back

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

Front

If x + 10 = 43, what is the value of x?

Back

33.