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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 on a coordinate plane. Example 8-3b. Vocabulary. Translation. A transformation in which a figure is slid horizontally, vertically, or both.
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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 on a coordinate plane
Example 8-3b Vocabulary Translation A transformation in which a figure is slid horizontally, vertically, or both
Lesson 8 Contents Example 1Draw a Translation Example 2Translation in the Coordinate Plane
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up. Example 8-1a Copy EFG E’ The translation is 3 units right and 2 units up E Note: Do not draw the arrows Begin with E and move it 3 units right then 2 units up G F Label E’ 1/2
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up. Example 8-1a The translation is 3 units right and 2 units up E’ Note: Do not draw the arrows E Begin with F and move it 3 units right then 2 units up F’ G Label F’ F 1/2
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up. Example 8-1a The translation is 3 units right and 2 units up E’ Note: Do not draw the arrows G’ E Begin with G and move it 3 units right then 2 units up F’ G Label G’ F 1/2
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up. Example 8-1a Connect the dots in order E’ G’ E F’ G F Answer: 1/2
Copy below on graph paper. Then draw the image of the figure after a translation of 2 units right and 4 units down. Example 8-1b Answer: 1/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. Plot the 3 coordinates B Label A A(-2, 2) A Label B B(3, 4) C C(4, 1) Label C Connect the dots in order that was plotted 2/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. The translation is 2 units left and 5 units down B Note: Do not draw the arrows A C Begin with A and move it 2 units left then 5 units down A’ Label A’ 2/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. The translation is 2 units left and 5 units down B Note: Do not draw the arrows A C Begin with B and move it 2 units left then 5 units down B’ A’ Label B’ 2/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. The translation is 2 units left and 5 units down B Note: Do not draw the arrows A C Begin with C and move it 2 units left then 5 units down B’ A’ Label C’ C’ 2/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. Connect the new lines in order B A C B’ A’ C’ 2/2
Example 8-2a Graph ABC with vertices A(–2, 2),B(3, 4),andC(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices. A’(-4, -3) B B’(1, -1) A C’(2, -4) C B’ Answer: A’ Must have the graph AND the coordinates C’ 2/2
Example 8-2b Graph PQR with vertices P(–1, 3),Q(2, 4), and R(3, 2). Then graph the image of PQR after a translation of 2 units left and 3 units down. Write the coordinates of its vertices. Answer: P'(1, 0), Q'(4, 1), and R'(5, –1) 2/2
End of Lesson 8 Assignment
Example 8-3a MULTIPLE-CHOICE TEST ITEMPoint S is moved to a new location, S'. Which white shape shows where the shaded figure would be if it was translated in the same way? AA BB C C DD
Example 8-3a Point S is translated 3 units right and 1 unit down. Identify the figure that is a translation of the shaded figure 3 units right and 1 unit down. Figure A: 3 units left and 1 unit up Figure B: 3 units right and 1 unit down Figure C & D: Moved in different directions than S’ so can be eliminated
Example 8-3a AA BB C C DD Figure B: 3 units right and 1 unit down Answer: B
Example 8-3b * MULTIPLE-CHOICE TEST ITEMPoint W is moved to a new location, W'. Which white shape shows where the shaded figure would be if it was translated in the same way? AA BB C C DD Answer: D