Geometry Midpoint and Distance Formula Flashcard

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint (M) between two points (x1, y1) and (x2, y2). It is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the distance between two points?

Back

The distance formula is used to find the distance (d) between two points (x1, y1) and (x2, y2). It is given by d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

(5, -3)

Front

If point M with coordinates (3,4) is the midpoint of line AB and A is at (-1,6), what is the point B?

Back

(7,2)

Front

Becky walks 6 blocks North and 8 blocks West. How far is she from the school?

Back

10 blocks

Front

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

(-1, 13)

Front

What is the endpoint of the segment with endpoint (-4, 5) and midpoint (7, -9)?

Back

(18, -23)

Front

What does the term 'endpoint' mean in geometry?

Back

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

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is equidistant from both endpoints.

Front

How can you verify if a point is the midpoint of a segment?

Back

You can verify by checking if the coordinates of the point satisfy the midpoint formula for the endpoints.