WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA QUESTIONS AND
ANSWERS 2025
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.
A scalene Triangle has - (ANSWER)no congruent sides
Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean theorem. -
(ANSWER)15.52
A circle has a diameter of 12.8 ft. What is the area of this circle? - (ANSWER)128.61 ft.
A circle has a circumference of 12.65 cm. Assuming π = 3.14, what is the measure of this circle's
diameter? - (ANSWER)4.03 cm
A directional sign can be best described as which type of polygon? - (ANSWER)rectangle
A quadrilateral has four congruent sides and diagonals that are perpendicular. - (ANSWER)Rhombus
Points P (−2, 1), R (−2, −5), and Q (−6, −5) create triangle PQR, which is then translated 1 unit down and
3 units to the right. What is the new x-coordinate of R? - (ANSWER)A23
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
, WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA QUESTIONS AND
ANSWERS 2025
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)
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
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
ANSWERS 2025
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.
A scalene Triangle has - (ANSWER)no congruent sides
Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean theorem. -
(ANSWER)15.52
A circle has a diameter of 12.8 ft. What is the area of this circle? - (ANSWER)128.61 ft.
A circle has a circumference of 12.65 cm. Assuming π = 3.14, what is the measure of this circle's
diameter? - (ANSWER)4.03 cm
A directional sign can be best described as which type of polygon? - (ANSWER)rectangle
A quadrilateral has four congruent sides and diagonals that are perpendicular. - (ANSWER)Rhombus
Points P (−2, 1), R (−2, −5), and Q (−6, −5) create triangle PQR, which is then translated 1 unit down and
3 units to the right. What is the new x-coordinate of R? - (ANSWER)A23
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
, WGU D128 MATHEMATICS FOR ELEMENTARY EDUCATORS OA QUESTIONS AND
ANSWERS 2025
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)
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
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
