Warm-up 4/20: Midpoint and Distance Review

Front

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

Back

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

Front

Find the midpoint of the segment with endpoints (-7, -8) and (4, 7).

Back

(-1.5, -0.5)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points (-4, 5) and (7, 18).

Back

17.03

Front

Find the distance between the points (-3, -11) and (8, -42).

Back

32.9

Front

What is the midpoint between the points (-4, 4) and (-2, 2)?

Back

(-3, 3)

Front

Find the midpoint of the segment with endpoints (1, 7) and (9, 0).

Back

(5, 3.5)

Front

What does the midpoint represent in a line segment?

Back

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

Front

If the midpoint of a segment is (2, 3) and one endpoint is (4, 5), what is the other endpoint?

Back

(0, 1) - Use the midpoint formula to solve.

Front

How does the distance formula relate to the Pythagorean theorem?

Back

The distance formula is derived from the Pythagorean theorem, representing the hypotenuse of a right triangle.