Midpoint/Distance Flashcard

Front

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

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the midpoint between (10, 9) and (-10, -5).

Back

(0, 2)

Front

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

Back

(5, -3)

Front

If point M (3,4) is the midpoint of line AB and A is (-1,6), what is point B?

Back

(7, 2)

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

5

Front

What is the distance between the points (-3, 4) and (-3, -10)?

Back

14

Front

What does the term 'midpoint' refer to in geometry?

Back

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

Front

How do you determine if two points are the same using the distance formula?

Back

If the distance between the two points is 0, they are the same.

Front

What is the significance of the midpoint in real-world applications?

Back

It can represent the average location between two points, such as finding a meeting point.