MATHEMATICS FOR ELEMENTARY
EDUCATORS III D127 COMPREHENSIVE
EXAM QUESTIONS AND CORRECT
ANSWERS STUDY GUIDE
●● 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
●● 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)
EDUCATORS III D127 COMPREHENSIVE
EXAM QUESTIONS AND CORRECT
ANSWERS STUDY GUIDE
●● 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
●● 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)
