Unit Test — Unit test Answers

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

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.

Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal?

Giselle is building a small baseball infield for her brother. The infield should be in the shape of a square. Each side of the infield, between bases, measures 30 feet. The distance between home plate and second base, as shown in the picture, is 45 feet. Which best describes the shape of the baseball field?

Nadine is making a quilt. She can use a rectangle of any length and width, as long as the angles in the shape are right angles. Which pieces of fabric can Nadine use in the quilt? Check all that apply. Fabric 1length: 5 cmwidth: 12 cmdiagonal: 13 cmFabric 2length: 8 cmwidth: 6 cmdiagonal: 10 cmFabric 3length: 4 cmwidth: 5 cmdiagonal: 6 cmFabric 4length: 10 cmwidth: 8 cmdiagonal: 12 cmFabric 5length: 6 cmwidth: 4 cmdiagonal: 8 cmFabric 6length: 8 cmwidth: 15 cmdiagonal: 17 cm

Which numbers are irrational? Check all that apply.

Which is a right triangle formed using a diagonal through the interior of the cube?

Which triangles are right triangles? Check all that apply.

Triangles are formed in a cube by connecting three vertices.Which triangles are right triangles? Check all that apply.

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 inequalities are true? Select the four correct answers.

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?

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