G-1.5 FLASHCARD B12Midpoint and Endpoint

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

Given the midpoint (x_m, y_m) and one endpoint (x1, y1), how do you find the other endpoint (x2, y2)?

Back

x2 = 2*x_m - x1, y2 = 2*y_m - y1

Front

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

Back

(18, 13)

Front

If a dog is at (-5, 7) and the cake is at (9, -3), where is the owner if they are equidistant from the cake?

Back

(23, -13)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

Back

(5, -11)

Front

Given the endpoint (9, 8) and midpoint (0, 9), find the other endpoint.

Back

(-9, 10)

Front

A race starts at (-10, -6) and has a water stop at (7, 4). What are the coordinates of the finish line?

Back

(24, 14)

Front

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

Back

An endpoint is a point at one end of a line segment or the starting point of a ray.

Front

How do you determine if two points are equidistant from a third point?

Back

Check if the distances from both points to the third point are equal using the distance formula.