Exit Ticket: Midpoint & Distance

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

Given the midpoint (3,4) and an endpoint (-1,6), how do you find the missing endpoint?

Back

Use the midpoint formula: (x1 + x2)/2 = midpoint_x and (y1 + y2)/2 = midpoint_y.

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 distance between points A(1,1) and B(5,2).

Back

Distance = √((5 - 1)² + (2 - 1)²) = √(16 + 1) = √17 ≈ 4.1.

Front

If the midpoint is (3,5) and one endpoint is (1,11), what is the missing endpoint?

Back

The missing endpoint is (5,-1).

Front

What is the length of line segment BC given points B(5,2) and C(3,5)?

Back

Length of BC = √((3 - 5)² + (5 - 2)²) = √(4 + 9) = √13 ≈ 3.6.

Front

Given the midpoint (7, -9) and one endpoint (-4, 5), find the missing endpoint.

Back

The missing endpoint is (18, 13).

Front

What is the length of line segment AC given points A(1,1) and C(3,5)?

Back

Length of AC = √((3 - 1)² + (5 - 1)²) = √(4 + 16) = √20 ≈ 4.5.

Front

Define 'midpoint' in geometry.

Back

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

Front

What does the distance formula calculate?

Back

The distance formula calculates the straight-line distance between two points in a coordinate plane.