Distance formulas

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

Calculate the distance between the points (2, 3) and (4, 7).

Back

Distance = √((4 - 2)² + (7 - 3)²) = √(4 + 16) = √20 = 4.47

Tags

CCSS.HSG.GPE.B.7

Front

Find the midpoint of the segment with endpoints (6, 8) and (2, 4).

Back

Midpoint = ((6 + 2)/2, (8 + 4)/2) = (4, 6)

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (-1, -1) and (3, 3)?

Back

Distance = √((3 - (-1))² + (3 - (-1))²) = √(16 + 16) = √32 = 5.66

Tags

CCSS.HSG.GPE.B.7

Front

If a rectangular field has a width of 30 yards and a length of 40 yards, what is the distance across the field (diagonal)?

Back

Diagonal = √(30² + 40²) = √(900 + 1600) = √2500 = 50 yards

Tags

CCSS.8.G.B.8

Front

What is the distance between the points (0, 0) and (5, 12)?

Back

Distance = √((5 - 0)² + (12 - 0)²) = √(25 + 144) = √169 = 13

Tags

CCSS.HSG.GPE.B.7

Front

Find the midpoint of the segment with endpoints (10, 10) and (0, 0).

Back

Midpoint = ((10 + 0)/2, (10 + 0)/2) = (5, 5)

Tags

CCSS.HSG.GPE.B.6

Front

What is the distance between the points (1, 1) and (1, 5)?

Back

Distance = √((1 - 1)² + (5 - 1)²) = √(0 + 16) = √16 = 4

Tags

CCSS.HSG.GPE.B.7

Front

Calculate the distance between the points (-3, -4) and (1, 2).

Back

Distance = √((1 - (-3))² + (2 - (-4))²) = √(16 + 36) = √52 = 7.21

Tags

CCSS.HSG.GPE.B.7