Right Triangles on the Coordinate Plane

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?

• 9 units

• 14 units

• 13 units

• 12 units

Explain why it is convenient to place a right triangle on the grid as shown when writing a coordinate proof.

• The hypotenuse of the right triangle is easy to identify.

• The side lengths are often easier to find because you are using zeros in your expressions.

• It is easier to dilate the figure on the coordinate plane.

• Both legs have the same length when you place the triangle on the x- and y-axes.

Find the coordinates of the vertex O.

Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would not create a triangular ?

• (5,8)

• (6,8)

• (3,2)

• (3,7)

The theme park rides crazy 8, twister, and infinity form a right triangle on a map when they are connected by straight lines.  The coordinate plane below shows the location of two of the rides.  

Select ONE point on the coordinate grid that could represent the location of the crazy 8 ride.

Tags

5.8.C

What are the two possible coordinate points that would create a right triangle with (0, 0) and (5, 5)?

• (0, 5) and (5, 0)

• (0, 0) and (5, 5)

• (1, 5) and (5, 1)

• (2, 3) and (3, 2)

Jim plotted points A and B on the coordinate grid. He wants to add a point C to create a right triangle. Which of the following coordinates would NOT create a triangular ?

• (5,8)

• (6,8)

• (3,2)

• (3,7)

Find the coordinates of the vertex U.

• (k, 0)

• (0, k)

• (k, 2k)

• (2k, k)

You and your cousin are camping in the woods. You hike to a point that is 500 meters east and 1200 meters north of the campsite. Your cousin hikes to a point that is 1000 meters east of the campsite.

The distance from the campsite to you is ______ meters.

• 1500

• 1300

• 1200

• 1000