WGU D128 Objective Assessment (Latest 2023/ 2024) Mathematics for Elementary Educators Exam| Questions and Verified Answers| 100% Correct| Grade A

WGU D128 Objective Assessment (Latest 2023/ 2024) Mathematics for Elementary Educators Exam| Questions and Verified Answers| 100% Correct| Grade A Q: Which of the following theorems proves that two figures are similar, but not congruent? Answer: Angle Angle Q: Which transformation will map (2, 5) onto ( -2, 5) Answer: (-x, y) Q: Two triangles are drawn in the coordinate plane. The vertices of the first triangle are (5, 4), (−4, 6), (−8, 9). The vertices of the second triangle are (1, 6), (−8, 8), ( x, y). Find the value of x and y that allow these two triangles to be congruent. Answer: (−12, 11) Q: An octagon in the coordinate plane is transformed.Which of the following transformations would result in a similar figure? Answer: (-5x, -5y) Q: Which type of transformation are these figures an example of? Answer: Dilation Q: A circle has an area of approximately 615.75 in 2. What is the circumference of the circle? Answer: 87.96 inches Q: What is the area of this figure? Answer: 63 square units Q: A triangular window has an area of 600 in 2. The base of the window is three times its height. What is the length of the base of the window? Answer: 60 in. Q: A gardener has a rectangular garden with an area of 374 yd 2. The length of the garden is 17 yd. The gardener wants to enlarge the garden by doubling only the width of the current garden. How much fencing will the gardener need to enclose the new garden? Answer: 122 yd Q: A teacher is making a game of ring toss for her class. She starts by using a circle with a diameter of 10 in. and then cuts out a smaller circle with a diameter of 6 in., leaving a ring as shown in the given image. Answer: 50.27 sq. cm Q: What is the approximate capacity of a spherical water tank with a radius of 7 ft? Answer: 1,436 ft 3 Q: A cylinder has a volume of 484π in. 3 and a height of 4 in. What is the radius of the cylinder? Answer: 6.21 inches Q: A cylinder has a volume of 600 in 3. Find the volume of a cone with the same radius and height as the cylinder. Answer: 200 cubic inches Q: How many square centimeters of sheet metal are required to manufacture a can with a radius of 3.5 cm and a height of 8 cm without overlapping? Answer: 252.77 cm 2 Q: What is the surface area of a sphere with a diameter of 14 in.? Answer: 615.44 in 2 Q: Find the surface area of a rectangular prism with a length of 3 in., a width of 4 in., and a height of 5 in. Answer: 94 in 2 Q: What device would you use to measure the volume of a liquid? Answer: Graduated Cylinder Q: What should a student use to measure the length and width of a textbook? Answer: Ruler Q: A runner runs in a park for 110 minutes.What time did the runner finish running if the runner started at 8:10 a.m.? Answer: 10:00 AM Q: An individual wants to buy a house worth $500,000, but only has $350,000 in a bank account. What is the deficit?