D128 Mathematics FOR Elementary
Educators QUESTIONS AND ANSWERS
WELL ILLUSTRATED.
What is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a
leg of 9 in.? - correct answer. 4√34 in.
A scalene Triangle has - correct answer. no congruent sides
Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean
theorem. - correct answer. 15.52
A circle has a diameter of 12.8 ft. What is the area of this circle? - correct 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? - correct answer. 4.03 cm
A directional sign can be best described as which type of polygon? - correct answer.
rectangle
A quadrilateral has four congruent sides and diagonals that are perpendicular. - correct
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? -
correct answer. A23
What is the triangle rotated 90 degrees about the origin? - correct answer. The
triangle now sits in the upper left corner
Which shows a dilation of the figure below? - correct 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? - correct 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'? - correct
answer. (12,24)
Given ABCD ~ WXYZ, which of the following is true? - correct answer. BC~ XY
Which of the following theorems proves that two figures are similar, but not congruent? -
correct answer. Angle Angle
Which transformation will map (2, 5) onto (-2, 5) - correct 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. - correct answer. (−12,
11)
An octagon in the coordinate plane is transformed.Which of the following
transformations would result in a similar figure? - correct answer. (-5x, -5y)
Which type of transformation are these figures an example of? - correct answer.
Dilation
A circle has an area of approximately 615.75 in 2. What is the circumference of the
circle? - correct answer. 87.96 inches
What is the area of this figure? - correct 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? - correct 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? -
correct 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. - correct answer. 50.27 sq. cm
What is the approximate capacity of a spherical water tank with a radius of 7 ft? -
correct answer. 1,436 ft 3
Educators QUESTIONS AND ANSWERS
WELL ILLUSTRATED.
What is the length of the missing leg in a right triangle with a hypotenuse of 25 in. and a
leg of 9 in.? - correct answer. 4√34 in.
A scalene Triangle has - correct answer. no congruent sides
Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean
theorem. - correct answer. 15.52
A circle has a diameter of 12.8 ft. What is the area of this circle? - correct 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? - correct answer. 4.03 cm
A directional sign can be best described as which type of polygon? - correct answer.
rectangle
A quadrilateral has four congruent sides and diagonals that are perpendicular. - correct
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? -
correct answer. A23
What is the triangle rotated 90 degrees about the origin? - correct answer. The
triangle now sits in the upper left corner
Which shows a dilation of the figure below? - correct 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? - correct 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'? - correct
answer. (12,24)
Given ABCD ~ WXYZ, which of the following is true? - correct answer. BC~ XY
Which of the following theorems proves that two figures are similar, but not congruent? -
correct answer. Angle Angle
Which transformation will map (2, 5) onto (-2, 5) - correct 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. - correct answer. (−12,
11)
An octagon in the coordinate plane is transformed.Which of the following
transformations would result in a similar figure? - correct answer. (-5x, -5y)
Which type of transformation are these figures an example of? - correct answer.
Dilation
A circle has an area of approximately 615.75 in 2. What is the circumference of the
circle? - correct answer. 87.96 inches
What is the area of this figure? - correct 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? - correct 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? -
correct 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. - correct answer. 50.27 sq. cm
What is the approximate capacity of a spherical water tank with a radius of 7 ft? -
correct answer. 1,436 ft 3
