ELEMENTARY EDUCATORS OA PRACTICE
GUIDE UPDATED 2026 TESTED SOLUTIONS
⫸ 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)
⫸ 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