Coordinate Geometry and Circles Flashcard Review

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

How do you find the midpoint between two points A(x1, y1) and B(x2, y2)?

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

If point R divides line segment ST in the ratio m:n, how do you find the coordinates of R?

Back

R = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)).

Front

What does it mean for a point to be 1/3 of the way from point A to point B?

Back

It means the point divides the line segment AB into two parts, where the part closer to A is 1/3 the length of the entire segment.

Front

What is the area of a rectangle with length 8 units and width 8 units?

Back

Area = 8 × 8 = 64 square units.

Front

Find the coordinates of the point that is 1/3 of the way from A(6, -3) to B(14, -9).

Back

(8 2/3, -5).

Front

What is the midpoint of points A(6, 3) and B(2, -9)?

Back

Midpoint = (4, -3).

Front

Calculate the distance between points A(-5, 7) and B(-2, 3).

Back

Distance = 5 units.

Front

If S is at (-6, -4) and T is at (4, 11), what are the coordinates of point R if SR:RT = 1:4?

Back

R = (-4, -1).