2.3 Transformations Classwork Rotate the figure 180° the center of rotation, point P. If this seems difficult, try reflecting it over Do Next: both axes instead and check it with patty paper a) Draw a line m and a point P not on m. b) Use a compass to draw several circles with their centers on line m and passing through point P. c) The circles intersect at P. What other point do the circles have in common? d) How could this construction help you construct a Translate the figure by the translation vector. reflection of a point across a line? Reflect across line l. ∆TRI Translate by the given vector. Example: How would we rotate this figure 180˚ If were reflected across the y-axis, to what ∆CYN around point A? location would points C, N, and Y be relocated? Name: _________________________ Section: _________ Reflect the figure across the line of reflection, line l. If trapezoid ABCD were rotated 90° counterclockwise about (0, 0), to what (x, y) location would points A, B, C, and D be relocated?
2.3 Transformations Classwork Do Next: a) Draw a line m and a point P not on m. b) Use a compass to draw several circles with their centers on line m and passing through point P. c) The circles intersect at P. What other point do the circles have in common? d) How could this construction help you construct a reflection of a point across a line? Example: How would we rotate this figure 180˚ around point A? Name: _________________________ Section: _________ Reflect the figure across the line of reflection, line l. Rotate the figure 180° the center of rotation, point P. If this seems difficult, try reflecting it over both axes instead and check it with patty paper Translate the figure by the translation vector. Reflect ∆TRI across line l. Translate by the given vector. If ∆CYN were reflected across the y-axis, to what location would points C, N, and Y be relocated? If trapezoid ABCD were rotated 90° counterclockwise about (0, 0), to what (x, y) location would points A, B, C, and D be relocated?
2.3_intro_to_transformations.docx