Unit 5 Flashcard 2 Study Guide

Front

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

Back

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

Front

Given the midpoint M and one endpoint A, how do you find the other endpoint B?

Back

B = (2M - A)

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

If the coordinates of point A are (2, -1) and point B are (2, 5), what is the distance between them?

Back

Distance = 6 units

Front

What is the length of a side in a right triangle if the other two sides are 3 units and 4 units?

Back

Length = 5 units (Pythagorean theorem)

Front

How do you calculate the distance between two points on a coordinate plane?

Back

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

Front

What is the definition of a midpoint in geometry?

Back

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

Front

If the coordinates of the endpoints of a line segment are (6, 2) and (-10, 8), what is the midpoint?

Back

Midpoint = (-2, 5)

Front

What is the distance between the points (1, 2) and (1, -2)?

Back

Distance = 4 units

Front

What is the significance of the distance formula in geometry?

Back

It allows us to calculate the straight-line distance between two points in a coordinate system.