D128 Mathematics for Elementary Educators

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. 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)