Segment Addition & Midsegment, Distance, & Midpoint Flashcard

Front

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

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

(5, -3)

Front

Given an endpoint (9, 8) and a midpoint (0, 9), how do you find the other endpoint?

Back

Use the formula: Other Endpoint = (2*Midpoint - Endpoint) = (-9, 10)

Front

What is the y-coordinate of the midpoint of the line segment between (1, 2) and (3, 2)?

Back

2

Front

If the distance between points A(1, 2) and B(4, 6) is calculated, what is the result?

Back

Distance = 5

Front

What is the significance of the midsegment in a triangle?

Back

The midsegment connects the midpoints of two sides and is parallel to the third side, half its length.

Front

How do you determine the coordinates of the midpoint of a line segment?

Back

Add the x-coordinates and divide by 2, then add the y-coordinates and divide by 2.

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

Distance = 5

Front

What is the midpoint of the line segment connecting (2, 3) and (4, 7)?

Back

(3, 5)