Lesson 10-8 Pages Translations

What you will learn! How to graph translations of polygons on a coordinate plane.

TransformationTranslation

What you really need to know! A translation is the movement of a geometric figure in some direction without turning the figure. When translating a figure, every point of the original figure is moved the same distance and in the same direction.

What you really need to know! To graph a translation of a figure, move each vertex of the figure in the given direction. Then connect the new vertices.

Example 1: Translate ∆ABC 5 units left and 1 unit up. B CA A’B’ C’ A (1,-3) B (4,1) C (5,-3) A’ (-4,-2) B’ (-1,2) C’ (0,-2)

Example 2: Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.

G HI J G'G' H'H' I'I' J'J' G (-4,1) H (-4,3) I (-2,3) J (-1,1) G’ (1,-2) H’ (1,0) I’ (3,0) J’ (4,-2)

Vertices of trapezoid GHIJ (x + 5, y – 3) Vertices of trapezoid GHIJ G(–4, 1) H(–4, 3) I(–2, 3) J(–1, 1) (–4 + 5, 1 – 3) G(1, –2) (–4 + 5, 3 – 3) H(1, 0) (–2 + 5, 3 – 3) I(3, 0) (–1 + 5, 1 – 3) J(4, –2)

Example 3: Ana is seated at the square marked X. She is moved to the seat marked Y. Describe the translation as an ordered pair. (2,2)

Page 453 Guided Practice #’s 3-5

A'A' C'C' B'B' A (2,6) B (4,2) C (1,3) A’ (-1,3) B’ (1,-1) C’ (-2,0)

D (1,0) E (-2,-2) F (2,4) G (6,-3) D’ (5,-5) E’ (2,-7) F’ (6,-1) G’ (10,-8)

D (1,0) E (-2,-2) F (2,4) G (6,-3) D (7,0) E (4,-2) F (8,4) G (12,-3)

Pages with someone at home and study examples! Read:

Homework: Page #’s 6-13 all #’s all Lesson Check 10-8

H(-1,0) I (1,-3) J (-2,-4) H(1,-6) I (3,-9) J (0,-10)

K(1,-1) L (1,1) M (5,1) N (5,-1) K(0,2) L (0,4) M (4,4) N (4,2)

P(0,0) Q (5,-2) R (-3,6)

P(0,0) Q (5,-2) R (-3,6)

P(0,0) Q (5,-2) R (-3,6)

P(0,0) Q (5,-2) R (-3,6)

Page 589 Lesson 10-8