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WGU D126 MATHEMATICS FOR ELEMENTARY EDUCATORS
II EXAM | QUESTIONS AND VERIFIED ANSWERS/ACCURATE
SOLUTIONS ALREADY GRADED A+
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.
There are 40 students in a summer cohort. Of those students, 20 are taking an
accounting course, and 25 are taking a Spanish course. A total of eight students are
taking both courses. How many students are not taking either course? - Answer: 3
For a test in a math class, 60 students arrive and take out their supplies. Of those
students, 22 bring pens, and 48 bring pencils. Only one student arrives without a
pen or pencil. How many students brought both a pen and a pencil? - Answer: 11
Suppose the probability of winning a game is 2/6. If you lose, you pay $1. If you
win, another player pays you X dollars. If the game is to be fair, which of the
following should be X? - Answer: $2
A company makes bobblehead dolls. One out of every five is faulty, but the
company does not know which dolls are faulty until a buyer complains. Suppose
the company makes a $2.50 profit on the sale of any working doll, but suffers a
$10 loss for every faulty one because they have to repair the doll.Which of the
following is the company's expected profit or loss per doll in the long term? -
Answer: $0.00
A coin is flipped three times and lands on heads each time. What is the probability
of it
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
, 2|Page
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
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
WGU D126 MATHEMATICS FOR ELEMENTARY EDUCATORS
II EXAM | QUESTIONS AND VERIFIED ANSWERS/ACCURATE
SOLUTIONS ALREADY GRADED A+
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.
There are 40 students in a summer cohort. Of those students, 20 are taking an
accounting course, and 25 are taking a Spanish course. A total of eight students are
taking both courses. How many students are not taking either course? - Answer: 3
For a test in a math class, 60 students arrive and take out their supplies. Of those
students, 22 bring pens, and 48 bring pencils. Only one student arrives without a
pen or pencil. How many students brought both a pen and a pencil? - Answer: 11
Suppose the probability of winning a game is 2/6. If you lose, you pay $1. If you
win, another player pays you X dollars. If the game is to be fair, which of the
following should be X? - Answer: $2
A company makes bobblehead dolls. One out of every five is faulty, but the
company does not know which dolls are faulty until a buyer complains. Suppose
the company makes a $2.50 profit on the sale of any working doll, but suffers a
$10 loss for every faulty one because they have to repair the doll.Which of the
following is the company's expected profit or loss per doll in the long term? -
Answer: $0.00
A coin is flipped three times and lands on heads each time. What is the probability
of it
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
, 2|Page
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
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
