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Transparency 8. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 8-3b. Objective. Graph translations of polygons on a coordinate plane. Example 8-3b. Vocabulary. Transformation. A movement of a geometric figure. Example 8-3b. Vocabulary.
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Transparency 8 Click the mouse button or press the Space Bar to display the answers.
Example 8-3b Objective Graph translations of polygons on a coordinate plane
Example 8-3b Vocabulary Transformation A movement of a geometric figure
Example 8-3b Vocabulary Translation One type of transformation where a geometric figure is slid horizontally, vertically, or both
Lesson 8 Contents Example 1Graph a Translation Example 2Find Coordinates of a Translation Example 3Naming Translations with Ordered Pairs
Example 8-1a Translate ABC 5 units left and 1 unit up. Copy ABC The translation is 5 units left and 1 unit up B Note: Do not draw the arrows A’ A C Begin with A and move it 5 units left then 1 unit up Label A’ 1/3
Example 8-1a Translate ABC 5 units left and 1 unit up. Translate B and move it 5 units left then 1 unit up B’ B Label B’ A’ C’ Translate C and move it 5 units left then 1 unit up A C Label C’ 1/3
Example 8-1a Translate ABC 5 units left and 1 unit up. Connect the dots in order B’ B A’ C’ A C Answer: 1/3
Example 8-1b Translate DEF 3 units left and 2 units down. Answer: 1/3
Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Plot the 4 coordinates H I Label G G(-4, 1) H(-4, 3) Label H G J I(-2, 3) Label I J(-1, 1) Label J Connect the dots in order that was plotted 2/3
Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. The translation is 5 units right and 3 units down H I Note: Do not draw the arrows G J Begin with G and move it 5 units right then 3 units down G’ Label G’ 2/3
Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Translate H and move it 5 units right then 3 units down H I G J Label H’ H’ I’ Translate I and move it 5 units right then 3 units down G’ Label I’ 2/3
Example 8-2a Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJafter a translation of 5 units right and 3 units down. Then graph the figure and its translated image. Translate J and move it 5 units right then 3 units down H I G J Label J’ H’ I’ Connect the new lines in order J’ G’ Answer: 2/3
Example 8-2b Triangle MNO has vertices M(–5, –3), N(–7, 0), and O(–2, 3). Find the vertices of triangle MNO after a translation of 6 units right and 3 units up. Then graph the figure and its translated image. Answer: 2/3
Example 8-3a CLASSROOMS The squares below represent desks in a classroom. Ana is seated at the square marked X. She is moved to the seat marked Y. Describe this translation as an ordered pair. Right 2 is +2 Up 2 is a +2 Answer: Y (2, 2) 3/3
Example 8-3b * CONVENTIONThe squares below represent booths at a convention center. The Sail Maker Company was located at the booth marked X last year. This year they have been moved to the booth marked Y. Describe this translation as an ordered pair. Answer: Y (–3, –3) 3/3
End of Lesson 8 Assignment