Midpoint & Perpendicular Bisector problems to review

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

(5, -3)

Front

If point A is (-4, 2) and the midpoint M is (8, 7), what is the other endpoint?

Back

(20, 12)

Front

Given one endpoint (11, 15) and midpoint (3, 8), find the missing endpoint.

Back

(-5, 1)

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the equation of the perpendicular bisector of segment LG with endpoints L(-5, 1) and G(7, -9)?

Back

y + 4 = 6/5 (x - 1)

Front

Define the term 'endpoint' in geometry.

Back

An endpoint is a point at one end of a line segment or ray.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is the point that divides a segment into two equal lengths.

Front

How do you find the other endpoint if you have one endpoint and the midpoint?

Back

Use the formula: Other endpoint = (2 * midpoint) - given endpoint.

Front

What is the slope of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)