Pythagorean Theorem and Graphing

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

What is the length of the unknown side?

• 14 units
  14 units

• 20 units

• 28 units

• 200 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

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Find the missing length.

• 12

• 10

• 16

• 5

Find the value of x.

Mathematical Equivalence

ON

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100