Pythagorean Theorem Assessment

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

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

Brianna is planting a sapling.  The garden center recommended she stabilize the sapling with guy wires for the first 

• 6.6 feet
• 7.8 feet
• 12.2 feet
• 15.6 feet

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

• 2.4
• 5.1
• 12.5
• 18.9

Determine the unknown side for the triangle shown.  Round to the nearest tenth if needed.

• 23.4
• 34
• 1156
• 23.3

The side lengths of a right triangle are 24, 45 and 51.  Which side is the hypotenuse?

• 51
• 24
• 45
• Can't determine

Determine the unknown side for the triangle shown.  Round to the nearest tenth if needed.

• 29.7
• 26.2
• 26.1

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

Gary is building braces for a shelf.  He will attach each brace to the front edge of the 6-inch shelf and 3 inches down the wall.  If he uses 3 braces for the shelf, how much bracing, in inches, will he need?  Round your answer to the nearest tenth of an inch.

• 6.7 inches
• 13.4 inches
• 20.1 inches
• 67.5 inches

What is the length of the unknown side?

• 14 units
  14 units
• 20 units
• 28 units
• 200 units