Calculating Distance Between Points

What is the distance between points (3, -5) and (3, -8)?

• 1 unit

• 2 units

• 3 units

• 4 units

Answer explanation

To find the distance between (3, -5) and (3, -8), use the distance formula for vertical points: |y2 - y1| = |-8 - (-5)| = |-3| = 3 units. Thus, the correct answer is 3 units.

Tags

CCSS.6.G.A.3

What is the distance between points (-7, 8) and (2, 8)?

• 4 units

• 5 units

• 3 units

• 9 units

Answer explanation

To find the distance between points (-7, 8) and (2, 8), use the distance formula. Since the y-coordinates are the same, the distance is the difference in x-coordinates: |2 - (-7)| = 9 units. Thus, the correct answer is 9 units.

Tags

CCSS.HSG.GPE.B.7

Find the distance between the two ordered pairs.

• -5

• 9

• 15

• 5

Answer explanation

To find the distance between two ordered pairs (x1, y1) and (x2, y2), use the formula: distance = √((x2 - x1)² + (y2 - y1)²). The correct answer is 5, which represents the calculated distance.

Tags

CCSS.6.NS.C.8

Find the distance between the two ordered pairs.

• 12

• -8

• 8

• 10

Answer explanation

To find the distance between two ordered pairs (x1, y1) and (x2, y2), use the formula: distance = √((x2 - x1)² + (y2 - y1)²). The correct answer is 8, which is the result of applying this formula.

Tags

CCSS.6.NS.C.8

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

• 15 units

• 14 units

• 10 units

• 9 units

Answer explanation

To find the distance between points G and H, subtract their coordinates. If G is at (x1, y1) and H is at (x2, y2), the distance is |x2 - x1| + |y2 - y1|. The correct distance is 14 units.

Tags

CCSS.6.NS.C.8

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

• 6 units

• 4 units

• 10 units

• 11 units

Answer explanation

To find the distance between (0, 6) and (0, -4), use the distance formula for vertical points: |y2 - y1| = |(-4) - (6)| = | -10 | = 10 units. Thus, the correct answer is 10 units.

Tags

CCSS.HSG.GPE.B.7

What is the distance between points  (5, 5) and  (1, 5) on a coordinate plane?

• -4

• 4

• 10

• -10

Answer explanation

To find the distance between points (5, 5) and (1, 5), use the distance formula. Since the y-coordinates are the same, the distance is the difference in x-coordinates: |5 - 1| = 4. Thus, the correct answer is 4.

Tags

CCSS.HSG.GPE.B.7

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?

• 4 units

• 5 units
  5 units

• 6 units

• 8 units

Answer explanation

To find the longest side of the rectangle, calculate the distances between the x-coordinates (3 and -2) and the y-coordinates (2 and -1). The width is 5 units (3 - (-2)) and the height is 3 units (2 - (-1)). The longest side is 5 units.

Tags

CCSS.6.G.A.3

If you begin at point Z and travel east 3 spaces and then south 1 space, at which point will you arrive?

• X

• T

• L

• R

Answer explanation

Starting at point Z, moving east 3 spaces takes you to point L. Then, moving south 1 space from L does not change your position since L is already at the southernmost point. Thus, you arrive at point L.

Tags

CCSS.5.G.A.2

What is the distance between points (-7, 8) and (2, 8)?

• 4 units

• 5 units

• 3 units

• 9 units

Answer explanation

To find the distance between points (-7, 8) and (2, 8), use the distance formula. Since the y-coordinates are the same, the distance is the difference in x-coordinates: |2 - (-7)| = 9 units.

Tags

CCSS.HSG.GPE.B.7