Distance and Midpoint: Real-World Challenges for 7th Grade

A car travels from point A (2, 3) to point B (5, 7). What is the distance the car travels?

• 10

• 5

• 7

• 3

Tags

CCSS.HSG.GPE.B.7

Two friends are standing at points (1, 2) and (4, 6) on a coordinate plane. What is the midpoint between their locations?

• (5, 7)

• (1.5, 3)

• (2.5, 4)

• (3, 4)

Tags

CCSS.HSG.GPE.B.6

A bike path runs from point C (3, 4) to point D (7, 1). How long is the bike path?

• 5

• √13

• √10

• √20

Tags

CCSS.HSG.GPE.B.7

A runner starts at point (0, 0) and runs to point (6, 8). Calculate the distance the runner covers.

• 15

• 10

• 8

• 12

Tags

CCSS.HSG.GPE.B.7

The midpoint of a line segment is (3, 5). One endpoint is (1, 2). What are the coordinates of the other endpoint?

• (4, 6)

• (2, 3)

• (6, 10)

• (5, 8)

Tags

CCSS.HSG.GPE.B.6

A delivery truck travels from location (2, 1) to (8, 5). How far does the truck travel?

• 6√2

• 4√5

• 3√10

• 2√13

Tags

CCSS.HSG.GPE.B.7

Two parks are located at (2, 3) and (10, 7). What is the distance between the two parks?

• 6

• 5√2

• 3√5

• 4√5

Tags

CCSS.HSG.GPE.B.7

A student walks from home at (1, 1) to school at (4, 5). What is the distance the student walks?

• 7

• 5

• 3

• 4

Tags

CCSS.HSG.GPE.B.7

The coordinates of two points are (3, 3) and (7, 1). What is the distance between these two points?

• 3√2

• 4

• 2√2

• 5√2

Tags

CCSS.HSG.GPE.B.7

A line segment has endpoints at (2, 2) and (6, 6). What is the midpoint of this segment?

• (3, 3)

• (4, 4)

• (5, 5)

• (2, 6)

Tags

CCSS.HSG.GPE.B.6