Finding Distance in the Coordinate Plane — Unit test Answers

Which statement describes whether a right triangle can be formed using one side length from each of these squares?

Avi’s dining room measures 124 square feet and is in the shape of a square. Which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.Which of the following statements are true about the lengths of the trails? Check all that apply.

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in the triangle be located? Check all that apply.

The values and are plotted on the number line. What is the approximate difference in tenths between the two values?

Which numbers are irrational? Check all that apply.

What is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

Which is a perfect square?

Carl is trying to determine the length of segment MN using the Pythagorean theorem. Step 1: Find the vertex of a possible right triangle. V(4, 1)Step 2: Find the leg lengths of the right triangle. NV = 7, MV = 5Step 3: Substitute the values into the Pythagorean theorem. Step 4: Solve for c. Which best describes the accuracy of Carl’s solution?

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply.

Which statements are true about the unknown side length in this right triangle? Check all that apply.

Which equation can be used to determine the distance between the origin and (–2, –4)?

What value of y will make the equation true? [BLANK]