distance and midpoint

Front

What is distance in geometry?

Back

Distance is the length of the shortest path between two points in a plane.

Front

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

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint of a line segment?

Back

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

Front

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

Back

Use the midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the perimeter of a rectangle?

Back

The perimeter is the total distance around the rectangle, calculated as P = 2(length + width).

Front

How do you calculate the perimeter of a triangle?

Back

Add the lengths of all three sides: P = side1 + side2 + side3.

Front

What is the formula for the distance between points (-4, 5) and (7, 18)?

Back

d = √((7 - (-4))² + (18 - 5)²) = 17.03.

Front

What is the perimeter of a rectangle with vertices (-2,-1), (4,-1), (4,-3), and (-2,-3)?

Back

The perimeter is 16.

Front

What is the distance between points (-12, 1) and (12, -1)?

Back

d = √((12 - (-12))² + (-1 - 1)²) = 24.08.

Front

What is the formula to find the distance between two points?

Back

d = √((x2 - x1)² + (y2 - y1)²).