CHAPTER 2 . STUDY GUIDE AND ASSESSMENT OBJECTIVES AND EXAMPLES REVIEW EXERCISES Lesson 2-4 Use matrices to determine the coordinates of polygons under a given Use matrices to perform each transformation. transformation. Then graph the pre-image and image on the same coordinate grid. Reflections Rotations 28. A(-4, 3), B(2, 1), C(5, -3) translated 4 units (counterclockwise down and 3 unit left about the origin) 29. W(-2, -3), X(- 1, 2), Y(0, 4), Z(1, -2) reflected over the x-axis Rx-axis Rotgo = 30. D(2, 3), E(2, -5), F(-1, -5), G(-1, 3) rotated 180 about the origin. Ry axis = 0 Rot180 = 31. P(3, -4), Q(1, 2), R(-1, 1) dilated by a scale factor of 0.5 Ryex = 1 8 Rot270 [i -d] 32. triangle ABC with vertices at A(-4, 3), B(2, 1), C(5, -3) after Rotgo . Rx-axis 33. What translation matrix would yield the same result on a triangle as a translation 6 units up and 4 units left followed by a translation 3 units down and 5 units right? :. ..... Lesson 2-5 Evaluate determinants. Find the value of each determinant. - 4 Find the value of 5 -2 34. -3 5 35. 18 -6 3 15 -21 =(-1(-2)-5(6) 3 -4 36 - 2 Co 37 = -16 N OUT - 2 38. Determine whether |3 - 4 has a determinant. If so, find the value of the determinant. If not, explain. esson 2-5 Find the inverse of a 2 X 2 matrix. Find the inverse of each matrix, if it exists. Find X 1, if X = =3] 39 40 10 4 -3 = -6 - (-1) or -5 and -5#0 41. 5 -4 42. 5 - X = 1 d ad - bc - c a 43. 44. _ 2 = 5 2