Distance on Graph Using Pythagorean Theorem

Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem.  Round to the nearest tenth.  You will need to do your drawing on graph paper.
Points:
(-7,3) and (-2,9)

• 9 units

• 8.6 units

• 4.9 units

• 4 units

Determine the distance between each pair of points by graphing and connecting the points, creating a right triangle and applying the Pythagorean Theorem.  Round to the nearest tenth.  You will need to do your drawing on graph paper.
Points:
(-4,2) and (4,-6)

• 11 units

• 0 units

• 11.3 units

Square ABCD is shown.  What is the length of diagonal AC?  Round to the nearest tenth, if necessary.

• 4.7 centimeters

• 9.4 centimeters

• 11 centimeters

• 15.6 centimeters

What is the length of the unknown leg to at the nearest tenth?

• 2.4

• 5.1

• 12.5

• 18.9

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematical Equivalence

ON

Tags

8.7.C

The distance from Megan to the point on the ground directly below the kite is ​ ​ (a)   ​ ​ ​​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

• 80 yd

• 60 yds

• 240 yd

• 120 yd

Snowcat Ridge Alpine Snow Park, the fi rst outdoor snow park in Florida, opened in Dade City in 2020. The park features a snow tubing hill shown below. Find the distance x from the top of the hill to the bottom.

Round to the nearest hundredths place.

Mathematical Equivalence

ON

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6