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, how do you find the length of QS?

Back

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

Front

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

Back

(5,-3)

Front

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

Back

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

Front

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

Back

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

Front

If the length of segment AB is 11, what is the length of segment BC if AB + BC = 33?

Back

BC = 22.

Front

What is the relationship between the coordinates of a midpoint and its endpoints?

Back

The coordinates of the midpoint are the averages of the coordinates of the endpoints.

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 midpoint in geometry?

Back

It helps in dividing segments, finding centers, and analyzing symmetry.

Front

If the coordinates of point A are (x1, y1) and point B are (x2, y2), how do you find the distance between them?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).