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NAME______________________________________________DATE______________ GEOMETRY HOMEWORK: TRANSFORMATIONS MRS. BINASO Regents Questions: 1. The image of point (5,7) when reflected in the y-axis is (1) (7,5) (2) (-7,5) (3) (5,-7) (4) (-5,7) 2. The point (7,-4) is reflected in the x-axis, the image is the point (1) (-4,7) (2) (7,4) (3) (-7,-4) (4) (-4,-7) 3. The image of point (8,7) when reflected in the line y = x is (1) (7,8) (2) (-7,8) (3) (8,-7) (4) (-8,7) 4. The transformation of ABC to A'B'C' is shown in the accompanying diagram. This transformation is an example of a (1) rotation (2) translation (3) reflection (4) dilation 5. What is the image of point (4,-7) if it is rotated counter-clockwise about the origin 180? (1) (4,7) (2) (-7,4) (3) (-4,7) (4) (-7,-4) 6. If a line segment with endpoints (1,2) and (2,2) is rotated 90 degrees counterclockwise about the origin, the endpoints of the segment in its new position are (-2,1) and (1) (-2,2) (2) (-2,0) (3) (-1,1) (4) (-1,2) 7. The transformation of ABC to A'B'C' is shown in the accompanying diagram. The transformation is an example of a (1) line reflection in line l (2) rotation about point A (3) dilation (4) translation 8. Which transformation does not always produce an image that is congruent to the original figure? (1) translation (2) reflection (3) rotation (4) dilation 9. Helen is using a capital H in an art design. The H has (1) (2) (3) (4) only one line of symmetry only two points of symmetry two lines of symmetry and only one point of symmetry two lines of symmetry and two points of symmetry 10. Which geometric figure has one and only one line of symmetry? (1) (2) (3) isosceles trapezoid square rectangle (4) rhombus PART II: 1. Triangle ABC is translated to complete a design. The result of the translation A'B'C'. . Find the coordinates of B using the accompanying table. ABC A(-2,0) B C(3,5) A'B'C' A'(1,4) B'(1,7) C'(6,9) 2. The coordinates of the endpoints of AB are A(0,2) and B(4,6). Graph and state the coordinates of A' and B', the images of A and B after AB is reflected in the x-axis. 3. Triangle SUN has coordinates S(0,6), U(3,5), and N(3,0). On graph paper, draw and label SUN. Then, graph and state the coordinates of S'U'N', the image after a reflection in the y-axis. 4. The coordinates of the endpoints of AB are A(2,6) and B(4,2). Is the image A''B'' the same if it is reflected in the x-axis, then dilated by 1/2 as the image is if it is dilated by 1/2, then reflected in the x-axis? Justify your answer.