D128 Mathematics for Elementary Educators Preassessment Questions and answers with complete solution graded A+ (Already passed)

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 ANS 4√34 in. A scalene Triangle has - CORRECT ANS no congruent sides Find the distance between points (0, 4) and (15, 0) by applying the Pythagorean theorem. - CORRECT ANS 15.52 A circle has a diameter of 12.8 ft. What is the area of this circle? - CORRECT ANS 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 ANS 4.03 cm A directional sign can be best described as which type of polygon? - CORRECT ANS rectangle A quadrilateral has four congruent sides and diagonals that are perpendicular. - CORRECT ANS 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 ANS A23 What is the triangle rotated 90 degrees about the origin? - CORRECT ANS The triangle now sits in the upper left corner Which shows a dilation of the figure below? - CORRECT ANS 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 ANS 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 ANS (12,24) Given ABCD ~ WXYZ, which of the following is true? - CORRECT ANS BC~ XY Which of the following theorems proves that two figures are similar, but not congruent? - CORRECT ANS Angle Angle Which transformation will map (2, 5) onto (-2, 5) - CORRECT ANS (-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 ANS (−12, 11) An octagon in the coordinate plane is transformed.Which of the following transformations would result in a similar figure? - CORRECT ANS (-5x, -5y) Which type of transformation are these figures an example of? - CORRECT ANS Dilation A circle has an area of approximately 615.75 in 2. What is the circumference of the circle? - CORRECT ANS 87.96 inches What is the area of this figure? - CORRECT ANS 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 ANS 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