Understanding the Pythagorean Theorem

What can be directly counted when a line is perfectly horizontal or vertical on a coordinate plane?

• The slope of the line

• The length of any diagonal line

• The length of the horizontal or vertical line

• The distance between any two points

Tags

CCSS.5.G.A.1

What is the role of the legs in the Pythagorean theorem?

• They are irrelevant to finding distances

• They are the vertical and horizontal distances to be counted

• They are used to calculate the area of a triangle

• They represent the diagonal distance

Tags

CCSS.8.G.B.8

What is the first step in using the Pythagorean theorem to find the distance between two points?

• Calculate the square root of the hypotenuse

• Draw a right triangle using the points as vertices

• Add the coordinates of the two points

• Count the units between the two points directly

Tags

CCSS.8.G.B.8

How do you find the hypotenuse using the Pythagorean theorem?

• Subtract the squares of the legs and take the square root

• Add the squares of the legs and take the square root

• Divide the sum of the legs by two

• Multiply the lengths of the legs and take the square root

Tags

CCSS.8.G.B.8

What is the distance between two points if one leg is 5 units and the other is 6 units?

• 5.5 units

• 30 units

• 7.8 units

• 11 units

Tags

CCSS.HSG.GPE.B.7

What is the distance between two points if both legs are 7 units long?

• 7 units

• 14 units

• 11.4 units

• 9.9 units

Tags

CCSS.8.G.B.8

How is the perimeter of a parallelogram found using the Pythagorean theorem?

• By adding the lengths of all sides directly

• By multiplying the base and height

• By calculating the diagonal distances only

• By using the theorem to find the length of diagonal sides

Tags

CCSS.3.MD.D.8

What is the perimeter of the parallelogram if the sides are 7, 5, 5, and 5.4 units?

• 20 units

• 22.4 units

• 17.4 units

• 24.4 units

Tags

CCSS.3.MD.D.8

If each unit on a map represents half a mile, what is the real-world distance between two points that are 5.1 units apart on the map?

• 2.55 miles

• 10.2 miles

• 5.1 miles

• 1.25 miles

Tags

CCSS.7.G.A.1

How do you determine the number of miles represented by a distance on a map if each unit equals half a mile?

• Divide the distance in units by 2

• Multiply the distance in units by 2

• Multiply the distance in units by 0.5

• Add 0.5 to the distance in units

Tags

CCSS.7.G.A.1