Calculating Distance on a Coordinate Plane with the Pythagorean Theorem

How many units is segment AB long?

• 5 units

• 6 units

• 7 units

• 8 units

Why can't the length of segment AC be directly counted?

• It is horizontal

• It is vertical

• It is a diagonal not aligning with the grid

• It is too long

What is the formula used to calculate the hypotenuse in a right triangle?

• a^2 + b^2 = c^2

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

What is the length of the hypotenuse if the legs of the triangle are 4 and 5 units?

• 6.4 units

• 9 units

• 6 units

• 5.5 units

How is the distance between two diagonal points on a coordinate plane found?

• Using the Pythagorean theorem

• Using a ruler

• Estimation

• By counting grid squares

If each unit on the graph represents two miles, what is the distance between Arya's and Bridget's houses?

• 20 miles

• 22 miles

• 18 miles

• 24.2 miles

What is the distance between Bridget's and Capri's houses?

• 20.6 miles

• 22.5 miles

• 19.5 miles

• 18.4 miles

How many units apart are the points (-6,1) and (-4,5) on the graph?

• 4.5 units

• 5 units

• 6 units

• 3.5 units

What is the correct way to set up a right triangle to measure distances on a coordinate plane?

• Horizontally only

• Vertically only

• Horizontally and vertically

• Diagonally only

What is the distance between Capri's and Arya's houses?

• 22.1 miles

• 21 miles

• 20.4 miles

• 19.8 miles