Review B.9, B.10 and B.13

Front

What is the formula to find the midpoint M of a line segment with endpoints U(x1, y1) and V(x2, y2)?

Back

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

Front

Calculate the midpoint M of the points U(2, 4) and V(6, 8).

Back

M = (4, 6)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points A(1, 2) and B(4, 6).

Back

Distance = 5

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts.

Front

If the midpoint M of a line segment AB is (3, 5) and A is (1, 2), what are the coordinates of B?

Back

B = (5, 8)

Front

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

Back

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

Front

How do you determine if a point lies on a line segment?

Back

Check if the point's coordinates are between the coordinates of the endpoints.

Front

What is the formula for finding the length of a line segment given its endpoints?

Back

Length = √((x2 - x1)² + (y2 - y1)²)

Front

If the coordinates of points A and B are (2, 3) and (8, 7), what is the length of segment AB?

Back

Length = 7.21