Distance Formula, Pythagorean Theorem, Midpoint Formula, Find Missing Endpoints

Front

What is the Distance Formula?

Back

The Distance Formula is used to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).

Front

Calculate the distance between the points (-3, -4) and (5, 5).

Back

12

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint M of a segment with endpoints (x1, y1) and (x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

Find the midpoint of the segment with endpoints (-2, 6) and (-3, 7).

Back

(-2.5, 6.5)

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

Calculate the distance between the points (4, 3) and (0, 6).

Back

5

Front

What is the formula to find the missing endpoint if you have one endpoint and the midpoint?

Back

If A(x1, y1) is one endpoint and M(xm, ym) is the midpoint, the other endpoint B(x2, y2) can be found using: x2 = 2*xm - x1, y2 = 2*ym - y1.

Front

Find the endpoint of the segment with endpoint (-4, 5) and midpoint (7, -9).

Back

(18, -23)

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

5

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

5