Unit 9 Test Review (2025)

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint (M) of a line segment with endpoints A(x1, y1) and B(x2, y2). It is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If point M is the midpoint of line segment AB, and A has coordinates (x1, y1), how do you find the coordinates of point B?

Back

To find the coordinates of point B, use the midpoint formula: B = (2Mx - x1, 2My - y1), where M is the midpoint.

Front

Calculate the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

Midpoint = ((4 + (-6))/2, (12 + 14)/2) = (-1, 13).

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is equidistant from both endpoints.

Front

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

Back

Midpoint = ((3 + 7)/2, (-1 + (-5))/2) = (5, -3).

Front

What are the coordinates of the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

The coordinates of the midpoint are ((x1 + x2)/2, (y1 + y2)/2).

Front

If A is at (-1, 6) and M is at (3, 4), what are the coordinates of B?

Back

Using the midpoint formula, B = (2*3 - (-1), 2*4 - 6) = (7, 2).

Front

What is the distance formula used for?

Back

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as d = √((x2 - x1)² + (y2 - y1)²).

Front

What are the lengths of the sides of a triangle with sides 5, 5, and √10?

Back

The lengths of the triangle's sides are 5, 5, and √10.

Front

How do you find the length of a line segment given its endpoints?

Back

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