Distance and Hypotenuse in Geometry

What is the primary method used to find the distance between two points on a coordinate plane?

• Applying the Pythagorean theorem

• Using a ruler

• Using a compass

• Counting grid squares

What is the hypotenuse in a right triangle?

• The longest side opposite the right angle

• The shortest side

• The side adjacent to the right angle

• The side opposite the smallest angle

How do you find the distance between two points on the same vertical axis?

• Subtract their x-values

• Add their y-values

• Subtract their y-values

• Add their x-values

What is the first step in finding the distance between two points forming a diagonal line segment?

• Draw a circle

• Create a right triangle

• Measure the line directly

• Count the grid squares

What is the length of side 'a' if the x-values of the points are 3 and -2?

• 2 units

• 7 units

• 5 units

• 3 units

What is the length of side 'b' if the y-values of the points are 2 and -1?

• 4 units

• 2 units

• 3 units

• 1 unit

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

• a^2 + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a + b = c

What is the calculated distance between the points (3, 2) and (-2, -1)?

• 6.2 units

• 5.8 units

• 7.1 units

• 4.5 units

What is a common misunderstanding when finding the distance between two diagonal points?

• Using a calculator

• Drawing a right triangle

• Counting the number of intervals

• Using the Pythagorean theorem

Why can't you simply count the intervals to find the diagonal distance?

• It is too complicated

• It is not allowed

• It doesn't account for the hypotenuse

• Intervals are not equal