1|Page
D128 WGU MATHEMATICS FOR
ELEMENTARY EDUCATOR OA WGU D128
NEW MODIFIED EXAM TESTED AND
APPROVED!!!
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)
An octagon in the coordinate plane is transformed.Which of the following
transformations would result in a similar figure? -- ANSWER--(-5x, -5y)
Which type of transformation are these figures an example of? -- ANSWER-
Dilation
A circle has an area of approximately 615.75 in 2. What is the circumference of
the circle? -- ANSWER--87.96 inches
What is the area of this figure? -- ANSWER--63 square units
Page 1 of 27
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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.
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
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
What is the approximate capacity of a spherical water tank with a radius of 7 ft?
-- ANSWER--1,436 ft 3
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
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
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-
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-252.77 cm 2
What is the triangle rotated 90 degrees about the origin? -- ANSWER--The
triangle now sits in the upper left corner
Which shows a dilation of the figure below? -- ANSWER--Enlargement by
scale factor of one half
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
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)
Given ABCD ~ WXYZ, which of the following is true? -- ANSWER--BC~ XY
Which of the following theorems proves that two figures are similar, but not
congruent? -- ANSWER--Angle Angle
Which transformation will map (2, 5) onto (-2, 5) -- ANSWER--(-x, y)
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D128 WGU MATHEMATICS FOR
ELEMENTARY EDUCATOR OA WGU D128
NEW MODIFIED EXAM TESTED AND
APPROVED!!!
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)
An octagon in the coordinate plane is transformed.Which of the following
transformations would result in a similar figure? -- ANSWER--(-5x, -5y)
Which type of transformation are these figures an example of? -- ANSWER-
Dilation
A circle has an area of approximately 615.75 in 2. What is the circumference of
the circle? -- ANSWER--87.96 inches
What is the area of this figure? -- ANSWER--63 square units
Page 1 of 27
,2|Page
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.
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
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
What is the approximate capacity of a spherical water tank with a radius of 7 ft?
-- ANSWER--1,436 ft 3
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
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
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-
Page 2 of 27
, 3|Page
-252.77 cm 2
What is the triangle rotated 90 degrees about the origin? -- ANSWER--The
triangle now sits in the upper left corner
Which shows a dilation of the figure below? -- ANSWER--Enlargement by
scale factor of one half
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
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)
Given ABCD ~ WXYZ, which of the following is true? -- ANSWER--BC~ XY
Which of the following theorems proves that two figures are similar, but not
congruent? -- ANSWER--Angle Angle
Which transformation will map (2, 5) onto (-2, 5) -- ANSWER--(-x, y)
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