025/2026 WGU D128
2
MATHEMATICS EXAM WITH Q&A
VERIFIED ANSWERS
hat is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a
W
leg of 9 in.? - CORRECT ANSWER-4√34 in.
A scalene Triangle has - CORRECT ANSWER-no congruent sides
ind the distance between points (0, 4) and (15, 0) by applying the Pythagorean
F
theorem. - CORRECT ANSWER-15.52
circle has a diameter of 12.8 ft. What is the area of this circle? - CORRECT
A
ANSWER-128.61 ft.
circle has a circumference of 12.65 cm. Assuming π = 3.14, what is the measure of
A
this circle's diameter? - CORRECT ANSWER-4.03 cm
directional sign can be best described as which type of polygon? - CORRECT
A
ANSWER-rectangle
quadrilateral has four congruent sides and diagonals that are perpendicular. -
A
CORRECT ANSWER-Rhombus
oints P (−2, 1), R (−2, −5), and Q (−6, −5) create triangle PQR, which is then
P
translated 1 unit down and 3 units to the right. What is the new x-coordinate of R? -
CORRECT ANSWER-A23
hat is the triangle rotated 90 degrees about the origin? - CORRECT ANSWER-The
W
triangle now sits in the upper left corner
hich shows a dilation of the figure below? - CORRECT ANSWER-Enlargement by
W
scale factor of one half
riangle ABC is congruent with triangle DEF. Which of the following angles in DEF is
T
congruent to m< BCA in the first triangle? - CORRECT ANSWER-< EFD
, square with vertices A(2, 6) B(4, 8) C(4, 6) and D(2, 4) is dilated by a scale factor of 3
A
with reference to the origin. Which of the following is the coordinate of B'? - CORRECT
ANSWER-(12,24)
Given ABCD ~ WXYZ, which of the following is true? - CORRECT ANSWER-BC~ XY
hich of the following theorems proves that two figures are similar, but not congruent? -
W
CORRECT ANSWER-Angle Angle
Which transformation will map (2, 5) onto (-2, 5) - CORRECT ANSWER-(-x, y)
wo triangles are drawn in the coordinate plane. The vertices of the first triangle are (5,
T
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. - CORRECT
ANSWER-(−12, 11)
n octagon in the coordinate plane is transformed.Which of the following
A
transformations would result in a similar figure? - CORRECT ANSWER-(-5x, -5y)
hich type of transformation are these figures an example of? - CORRECT
W
ANSWER-Dilation
circle has an area of approximately 615.75 in 2. What is the circumference of the
A
circle? - CORRECT ANSWER-87.96 inches
What is the area of this figure? - CORRECT ANSWER-63 square units
triangular window has an area of 600 in 2. The base of the window is three times its
A
height. What is the length of the base of the window? - CORRECT ANSWER-60 in.
gardener has a rectangular garden with an area of 374 yd 2. The length of the garden
A
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? -
CORRECT ANSWER-122 yd
teacher is making a game of ring toss for her class. She starts by using a circle with a
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. - CORRECT ANSWER-50.27 sq. cm
2
MATHEMATICS EXAM WITH Q&A
VERIFIED ANSWERS
hat is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a
W
leg of 9 in.? - CORRECT ANSWER-4√34 in.
A scalene Triangle has - CORRECT ANSWER-no congruent sides
ind the distance between points (0, 4) and (15, 0) by applying the Pythagorean
F
theorem. - CORRECT ANSWER-15.52
circle has a diameter of 12.8 ft. What is the area of this circle? - CORRECT
A
ANSWER-128.61 ft.
circle has a circumference of 12.65 cm. Assuming π = 3.14, what is the measure of
A
this circle's diameter? - CORRECT ANSWER-4.03 cm
directional sign can be best described as which type of polygon? - CORRECT
A
ANSWER-rectangle
quadrilateral has four congruent sides and diagonals that are perpendicular. -
A
CORRECT ANSWER-Rhombus
oints P (−2, 1), R (−2, −5), and Q (−6, −5) create triangle PQR, which is then
P
translated 1 unit down and 3 units to the right. What is the new x-coordinate of R? -
CORRECT ANSWER-A23
hat is the triangle rotated 90 degrees about the origin? - CORRECT ANSWER-The
W
triangle now sits in the upper left corner
hich shows a dilation of the figure below? - CORRECT ANSWER-Enlargement by
W
scale factor of one half
riangle ABC is congruent with triangle DEF. Which of the following angles in DEF is
T
congruent to m< BCA in the first triangle? - CORRECT ANSWER-< EFD
, square with vertices A(2, 6) B(4, 8) C(4, 6) and D(2, 4) is dilated by a scale factor of 3
A
with reference to the origin. Which of the following is the coordinate of B'? - CORRECT
ANSWER-(12,24)
Given ABCD ~ WXYZ, which of the following is true? - CORRECT ANSWER-BC~ XY
hich of the following theorems proves that two figures are similar, but not congruent? -
W
CORRECT ANSWER-Angle Angle
Which transformation will map (2, 5) onto (-2, 5) - CORRECT ANSWER-(-x, y)
wo triangles are drawn in the coordinate plane. The vertices of the first triangle are (5,
T
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. - CORRECT
ANSWER-(−12, 11)
n octagon in the coordinate plane is transformed.Which of the following
A
transformations would result in a similar figure? - CORRECT ANSWER-(-5x, -5y)
hich type of transformation are these figures an example of? - CORRECT
W
ANSWER-Dilation
circle has an area of approximately 615.75 in 2. What is the circumference of the
A
circle? - CORRECT ANSWER-87.96 inches
What is the area of this figure? - CORRECT ANSWER-63 square units
triangular window has an area of 600 in 2. The base of the window is three times its
A
height. What is the length of the base of the window? - CORRECT ANSWER-60 in.
gardener has a rectangular garden with an area of 374 yd 2. The length of the garden
A
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? -
CORRECT ANSWER-122 yd
teacher is making a game of ring toss for her class. She starts by using a circle with a
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. - CORRECT ANSWER-50.27 sq. cm
