Page 1 of 59
WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA
EXAM VERSION 1 AND PRACTICE EXAM COMPLETE 250
QUESTIONS AND DETAILED VERIFIED ANSWERS JUST
RELEASED
WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS EXAM 1
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.
1
,Page 2 of 59
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
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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? - ANSWER-150,000
Q: A pen is 12 cm long. A pencil is 4 cm longer than the pen. What is the total length of the
pencil and the pen? - ANSWER-12 cm+ 16 cm=28 cm
Q: What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER-0.381 m
Q: There are two weeks and three days remaining until the final exam. How many hours are
there until the exam? - ANSWER-408 hours
3
, Page 4 of 59
Q: What is the triangle rotated 90 degrees about the origin? - ANSWER-The triangle now sits in
the upper left corner
Q: Which shows a dilation of the figure below? - ANSWER-Enlargement by scale factor of one
half
Q: Triangle ABC is congruent with triangle DEF. Which of the following angles in DEF is
congruent to m< BCA in the first triangle? - ANSWER-< EFD
Q: A square with vertices A(2, 6) B(4, 8) C(4, 6) and D(2, 4) is dilated by a scale factor of 3 with
reference to the origin. Which of the following is the coordinate of B'? - ANSWER-(12,24)
Q: Given ABCD ~ WXYZ, which of the following is true? - ANSWER-BC~ XY
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)
What is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a leg of 9
in.? - ANSWER-4√34 in.
Q: A scalene Triangle has - ANSWER-no congruent sides
4
WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA
EXAM VERSION 1 AND PRACTICE EXAM COMPLETE 250
QUESTIONS AND DETAILED VERIFIED ANSWERS JUST
RELEASED
WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS EXAM 1
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.
1
,Page 2 of 59
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
2
,Page 3 of 59
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? - ANSWER-150,000
Q: A pen is 12 cm long. A pencil is 4 cm longer than the pen. What is the total length of the
pencil and the pen? - ANSWER-12 cm+ 16 cm=28 cm
Q: What is 15 in. in meters, given 1 in. equals 0.0254 m? - ANSWER-0.381 m
Q: There are two weeks and three days remaining until the final exam. How many hours are
there until the exam? - ANSWER-408 hours
3
, Page 4 of 59
Q: What is the triangle rotated 90 degrees about the origin? - ANSWER-The triangle now sits in
the upper left corner
Q: Which shows a dilation of the figure below? - ANSWER-Enlargement by scale factor of one
half
Q: Triangle ABC is congruent with triangle DEF. Which of the following angles in DEF is
congruent to m< BCA in the first triangle? - ANSWER-< EFD
Q: A square with vertices A(2, 6) B(4, 8) C(4, 6) and D(2, 4) is dilated by a scale factor of 3 with
reference to the origin. Which of the following is the coordinate of B'? - ANSWER-(12,24)
Q: Given ABCD ~ WXYZ, which of the following is true? - ANSWER-BC~ XY
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)
What is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a leg of 9
in.? - ANSWER-4√34 in.
Q: A scalene Triangle has - ANSWER-no congruent sides
4
