Enhanced End of Topic Assessment

A landscape designer is planning for a new garden installation. The diagram shows the 3 sections of the garden. Based on the information, which statement is true?

• The area of Section III is the same as the area of Section I and Section II combined.

• The area of Section II is the same as the area of Section I and Section III combined.

• The area of Section I is the same as the area of Section II and Section III combined.

• The area of Section I and II combined is greater than the area of Section III.

Tamara is building a brace to attach her shelf to the wall as shown in the diagram. She will attach the brace to the front edge of the 6-inch shelf and 3 inches down the wall from the bottom of the shelf. Which measurement is closest to the length of the brace she will need in inches?

• 5.2 in.

• 6.7 in.

• 27 in.

• 45 in.

Which measurements could NOT represent the side lengths of a right triangle?

• 10.5, 14, 17.5

• 15, 36, 39

• 4, 7.5, 9

Trapezoid ABCD is shown. Which measurement is closest to the length of diagonal BD in units?

• 8.5 units

• 10 units

• 14 units

• 18.5 units

You are helping a friend move furniture. You need to know the width, height, and diagonal of the rectangular front door frame. The width of the door frame is 36 inches, and the length of the diagonal of the door frame is 96 inches. Which measurement is closest to the height of the door frame in inches?

• 56 in.

• 64 in.

• 89 in.

• 103 in.

Anna purchased a phone with a rectangular screen that measures 6.5 centimeters in width and 12 centimeters in length. She wants to know the diagonal length of the screen. Round your answer to the nearest hundredth of a centimeter.

• 13.65 cm

• 10.50 cm

• 11.70 cm

• 12.20 cm

Jorge is flying a kite at the park with a friend. He is standing and holding the handle to the kite 3.5 feet off the ground. The kite is hovering directly over Jorge’s friend Tina who is standing 16 feet away from him. If Jorge has let out 34 feet of kite string, how high above the ground is the kite in feet?

• 30.5 feet

• 31.5 feet

• 32.5 feet

• 33.5 feet

Determine the distance between the pair of points. Round to the nearest tenth, if necessary. (1, 5) and (−6, −2).

• 9.9

• 10.0

• 10.1

• 10.2

Consider the trapezoid shown on the coordinate grid. Determine the length of diagonal AC to the nearest hundredth.

• 5.39

• 6.24

• 7.62

• 8.67

Carrie Mae is planning to insert a diagonal brace into the back of a large rectangular painting for stability. The painting measures 5 feet by 2 3/4 feet. What is the length of the diagonal brace in feet? Round your answer to the nearest hundredth.

• 5.83 feet

• 6.02 feet

• 5.71 feet

• 6.15 feet