Latest Verified WGU D128
Objective Assessment
Mathematics Exam with
100% Correct Questions and
Answers (Grade A+)
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
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
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)
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
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 252.77 cm 2
What is the surface area of a sphere with a diameter of 14 in.? - ANSWER 615.44 in 2
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
What device would you use to measure the volume of a liquid? - ANSWER Graduated Cylinder
What should a student use to measure the length and width of a textbook? - ANSWER Ruler
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
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
Objective Assessment
Mathematics Exam with
100% Correct Questions and
Answers (Grade A+)
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
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
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)
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
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 252.77 cm 2
What is the surface area of a sphere with a diameter of 14 in.? - ANSWER 615.44 in 2
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
What device would you use to measure the volume of a liquid? - ANSWER Graduated Cylinder
What should a student use to measure the length and width of a textbook? - ANSWER Ruler
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
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
