Distance & Midpoint Challenges in Real-Life Scenarios

A park is located at point A(2, 3) and a playground is at point B(8, 7). What is the distance between the park and the playground?

• 2√13

• 4√3

• 3√5

• 5√2

Tags

CCSS.HSG.GPE.B.7

Two friends are standing at points C(1, 1) and D(4, 5) in a field. What is the midpoint of the line segment connecting them?

• (2.5, 3)

• (3, 3)

• (1.5, 3)

• (4, 4)

Tags

CCSS.HSG.GPE.B.6

A delivery truck starts at location E(3, 4) and needs to reach location F(10, 12). How far does the truck need to travel?

• 5.0

• 8.5

• 12.0

• 10.63014581273465

Tags

CCSS.HSG.GPE.B.7

A school is at point G(5, 5) and a library is at point H(1, 9). Calculate the distance between the school and the library.

• 3√2

• 6

• 5

• 4√2

Tags

CCSS.HSG.GPE.B.7

The coordinates of two bus stops are I(0, 0) and J(6, 8). What is the midpoint of the line segment connecting these two bus stops?

• (3, 4)

• (6, 6)

• (4, 5)

• (2, 3)

Tags

CCSS.HSG.GPE.B.6

A bike path runs from point K(2, 2) to point L(10, 10). How long is the bike path?

• 10

• 5√2

• 6√2

• 8

• 8√2

Tags

CCSS.HSG.GPE.B.7

A farmer has a field with corners at M(1, 2) and N(7, 8). What is the distance between these two corners?

• 6√2

• 5√2

• 10

• 4√2

• 8

Tags

CCSS.HSG.GPE.B.7

A swimming pool is located at point O(3, 7) and a basketball court is at point P(9, 3). Find the midpoint of the line segment connecting the pool and the court.

• (4, 6)

• (6, 5)

• (5, 5)

• (7, 4)

Tags

CCSS.HSG.GPE.B.6

Two cities are located at coordinates Q(4, 4) and R(10, 10). What is the distance between the two cities?

• 4√2

• 5√2

• 6√2

• 8

• 6

Tags

CCSS.HSG.GPE.B.7

A hiking trail starts at point S(2, 3) and ends at point T(8, 9). What is the midpoint of the hiking trail?

• (6, 7)

• (5, 6)

• (4, 5)

• (3, 4)

Tags

CCSS.HSG.GPE.B.6