8.G.7 & 8.G.8 Review

Question 1.

The length of the diagonal of the screen of a laptop is 12.5 inches, and its width is 10 inches. What is the height?

• 2.5 in

• 4.74 in

• 7.5 in

• 16.01 in

Tags

CCSS.8.G.B.8

Question 2.

A baseball diamond is shown.

What is the shortest distance between first base and third base rounded to nearest whole number?

• 13 feet

• 39 feet

• 127 feet

• 180 feet

Tags

CCSS.8.G.B.8

Question 3:

A ramp of 5 feet in length is constructed in front of a house that is at a height of 3 feet from the ground.

What is the horizontal distance between the front door and the point where the ramp touches the ground?

______ feet

Tags

CCSS.8.G.B.8

Question 4.

Vega makes a map of a park located on her street, using a coordinate system with yards as the units. The gate of the park is at position (–1, 1) and a park bench is at (1, 2).

How far apart are the gate and the bench? Find the lengths of the legs of the right triangle from the coordinates and then apply the Pythagorean Theorem.

• √3 yards

• √5 yards

• 3 yards

• 5 yards

Tags

CCSS.7.G.B.4

Question 5:

The coordinate plane shows MP.

Both coordinates of points M and P are integers. What is the length, in units, of MP?

Tags

CCSS.6.G.A.3

Question 6:

Use the Pythagorean Theorem to find the distance between the two points on the graph below, located at (0, 0) and (6, 4).

• 4.5

• 7.2

• 10

• 24

Tags

CCSS.HSG.GPE.B.7

Jessica locates her garden using a coordinate grid with yards as the units. The two points (8,3) and (5,2) represent the two corners of the garden. How far apart are the two corners?

• 13.9

• √10

• √8

• 2

Tags

CCSS.HSG.GPE.B.7

A truck driver travels to different cities. The driver’s typical route starts at City P and goes through cities Q, E, and back to City P.

The angle formed at the vertex of City P is approximately 90 degrees.

• The distance, in miles (mi.), from City P to City Q and from City Q to City R are shown.

• The unknown distance, d, from City R back to City P is labeled. 

• Find the distance between City R and City P.

Tags

CCSS.8.G.B.8