Unit 1 Flashcard D (Principles)

Front

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

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If the midpoint M of a line segment AB is known, how can you find the other endpoint B if A is given?

Back

Use the formula B = (2M - A).

Front

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

Back

3

Front

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

Back

(-1, 13)

Front

If point A is (-4, 2) and the midpoint M is (8, 7), what is the other endpoint?

Back

(20, 12)

Front

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

Back

(7, 2)

Front

The middle of a line segment is called the _______________.

Back

midpoint

Front

What is the definition of a midpoint in geometry?

Back

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

Front

How do you calculate the x-coordinate of the midpoint between two points?

Back

Add the x-coordinates of the two points and divide by 2.

Front

What is the significance of the midpoint in coordinate geometry?

Back

It helps in finding the center point of a line segment and is used in various geometric constructions.