Application of Distance, Midpoint, and Slope — Quiz Answers

A mosaic will be created inside a form with the vertices X (−20,−15) , Y (5,5) , and Z (25,−20) What length of material in units on the scale drawing is required for the edge of the mosaic? Round the answer to the nearest tenth if necessary. Enter your answer in the box.

A new school is being designed on a coordinate plane. The plans indicate that the gym has vertices at G (−3,0) , H (−6,6) , J (0,9) , and K (3,3) Use the distance formula to find the exact lengths of the diagonals to determine whether the gym is a rectangle. Enter your answers in the boxes.

The wheels of a race car are going to be protected with a plastic circle cap. The scale drawing of the plans for the cap shows the center of one wheel at (−9,−7) and one point on the circle at (−10,−11) What is the approximate area of the cap in units on the scale drawing? Use 3.14 for π

A set of plans for a new bandstand includes a triangular support. The coordinates of the triangle on the plans are A (2,−3) , B (0,−2) , and C (−2,−6) Which statement classifies the triangle by angles?

A sporting goods company produces an archery target. The scale drawing of the plan shows the center at (−1.5,3.5) and one point on the circle at (8,9) What is the approximate area of the target in units on the scale drawing? Use 3.14 for π , and round the answer to the nearest whole number.

A community garden in the shape of a parallelogram is being planted around city hall. When the space is plotted on the coordinate plane, the vertices are at E (−0.5,0.5) , F (−9.5,−4) , G (−10.5,0) , and H (−1.5,4.5) The garden will be surrounded by recycled railroad ties. Based on the scale drawing, what is the length of ties needed?

A warehouse manager wants to redesign the warehouse shipping area. The manager creates a scale drawing of the warehouse on a coordinate plane. The shipping area is in the shape of a trapezoid with vertices at J (−6,3) , K (0,−4) , L (4,−6) , and M (−8,−14) What is the perimeter of the shipping area in the scale drawing? Round the answer to the nearest tenth if necessary. Enter your answer in the box.

A new merry-go-round is being installed on the fairgrounds. A scale of the plans is drawn on a coordinate plane with the center at (−3,5) and a point on the circle at (−8,−2) What is the approximate length in units on the scale drawing of the merry-go-round's edge? Use 3.14 for π , and round your answer to the nearest tenth.

A graph shows the first triangle in a wallpaper pattern. The coordinates are A (−4,−8) , B (−7,4) , and C (6,5) How can the distance formula be used to find the side lengths and classify the triangle?