Finding Distance in a Coordinate Plane

What is the primary theorem used to find distances in the coordinate plane?

• Pythagorean theorem

• Quadratic formula

• Theory of relativity

• Binomial theorem

How many units does each centimeter on the map represent?

• 100 feet

• 500 feet

• 1000 feet

• 50 feet

What is the total distance of the yellow path that Jim proposes?

• 2000 feet

• 1805 feet

• 2500 feet

• 1802.8 feet

Using the Pythagorean theorem, what is the approximate distance of the diagonal path from the haunted mansion to the clown tent?

• 1802.8 feet

• 2500 feet

• 1805 feet

• 2000 feet

Which path is shorter according to the calculations, the yellow path or the diagonal path?

• Both are equal

• Diagonal path

• Cannot be determined

• Yellow path

What is the perimeter of triangle ABC?

• 12 units

• 15 units

• 14 units

• 13.8 units

What is the length of the hypotenuse in triangle ABC?

• 6.5 units

• 5.8 units

• 5 units

• 6 units

In constructing an equilateral triangle, what is the length of each side if one side is 4 units?

• 4 units

• 8 units

• 2 units

• 6 units

What are the coordinates of the third vertex of Lee's equilateral triangle?

• (1, 4.5)

• (2, 3.5)

• (3, 4)

• (1, 5)

What is the correct method to find the third vertex in an equilateral triangle setup?

• Using the midpoint formula

• Using graph plotting

• Using the Pythagorean theorem

• Using a compass