Finding Distance in the Coordinate Plane with the Pythagorean Theorem

What is the primary objective of using the Pythagorean theorem in coordinate geometry?

• To calculate the area of triangles

• To find distances in the coordinate plane

• To determine the slope of a line

• To identify the coordinates of points

Tags

CCSS.8.G.B.8

What forms the basis for applying the Pythagorean theorem on a coordinate plane?

• The presence of circular shapes

• The parallel lines in the grid

• The intersection of lines at acute angles

• The intersection of horizontal and vertical lines at right angles

Tags

CCSS.8.G.B.8

How do you calculate the hypotenuse of a right triangle formed on a coordinate plane?

• By subtracting the length of one leg from the other

• By multiplying the lengths of the two legs

• By adding the squares of the two legs and taking the square root

• By dividing the sum of the legs by two

Tags

CCSS.8.G.B.8

What is the length of the diagonal between the points (1,2) and (5,5)?

• 3 units

• 6 units

• 4 units

• 5 units

Tags

CCSS.HSG.GPE.B.7

Why is it important to form a right triangle when using the Pythagorean theorem on a coordinate plane?

• To accurately calculate the length of the diagonal

• To ensure the angles are all acute

• To simplify the graph into equal parts

• To make calculation of areas easier

Tags

CCSS.8.G.B.8

When plotting points (-3,5) and (4,2), what are the lengths of the legs of the right triangle formed?

• 7 and 5 units

• 6 and 4 units

• 7 and 7 units

• 5 and 5 units

Tags

CCSS.6.G.A.3

What is the distance between the points (-3,5) and (4,2)?

• 8.5 units

• 10.2 units

• 9.0 units

• 9.9 units

Tags

CCSS.HSG.GPE.B.7

In the context of the video, what does one unit on the graph represent?

• One kilometer

• One yard

• One meter

• One mile

Tags

CCSS.3.MD.B.4

CCSS.2.MD.D.9

What is the distance from home to school if the legs of the right triangle are 3 and 6 units?

• 7.2 miles

• 6.0 miles

• 5.5 miles

• 6.7 miles

Tags

CCSS.8.G.B.8

What is the final step in finding the distance between two points using the Pythagorean theorem?

• Adding the lengths of the legs

• Taking the square root of the sum of the squares of the legs

• Dividing the sum of the squares of the legs by two

• Multiplying the lengths of the legs

Tags

CCSS.8.G.B.8