Translate Rotate Reflect 7 3 2 4 Graph

Translate, Rotate, Reflect!!! 7. 3. 2. 4 Graph and describe translations and reflections of figures on a coordinate grid and determine the coordinates of the vertices of the figure after the transformation Use with the 11. 6/11. 7 Lesson Worksheet

11. 6/11. 7 Notes TRANSLATE, ROTATE, REFLECT Same Signs = POSITIVE Opposite Signs = NEGATIVE

I can… translate figures on a coordinate plane Ø rotate figures on a coordinate plane Ø reflect figures on a coordinate plane Ø Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.

Definitions • Translation (Slide) • Reflection (Flip) • Rotation (Turn)

Translation A translation is the translation movement of a figure without turning or reflecting! So, the figure moves in a direction. Any direction! But the figure does not turn! 5

Let’s Translate! However, be careful! Translations do not always happen in the Watch as the Circle TRANSLATES. direction that seems REMEMBER: The entire figure moves If the figure moves, but does not logical! without turning! turn, we call that a translation! 6

Translating on a Graph Each point of the figure moves the SAME DISTANCE in the SAME DIRECTION in a Translation! Now. . . Translate the figure. . . “ 3 Units Down” Down 1) What is 3 units? 2) Which direction is down? 3) Pick some points! We’ll choose the four corners. 4) Move each of those points down 3 units. 5) Connect the dots to draw the translated figure. 6) Check that your points have all moved 3 units! 7

Translating on a Graph If triangle ABC below is translated 6 units to the right and 3 units down, what are the coordinates of point D, E, & F. B A C E F D A (-5, 1) D = (1, -2) B (-1, 4) E = (5, 1) C (-2, 2) F = (4, -1)

Now, Translate on Your Worksheet! Problem #1 on your Worksheet Translate the shaded figure. . . 4 Units Up Click to check your answer! The red diamond is exactly 4 units above 9

Reflection The Line of Reflection is exactly HALFWAY between the Original Figure and the Reflection! Original Figure A reflection is when a figure is reflection flipped across a pre-determined “line of reflection”! In a reflection, each point of the figure moves the same distance to the opposite side of the line of reflection. The more space between the figure Original Figure Reflected and the line of reflection, the Line Reflected of Reflection greater distance to the reflection. Figure Line of Reflection The part of the figure that is Reflected greatest distance from the line of Figure reflection stays the greatest distance from the line of reflection. The closest part stays closest. 10

Let’s Reflect! Remember. . . If the original figure is The distance between the Reflections directly to the left The part of the figure closest touching the Line of original figure and the Line of or right of the original figure to the Line of Reflection will Reflection. . . are also the same shape! stay the closest part after the reflection. The reflection will be Is the SAME as the distance Reflections directly above the touching the Line of between the reflected figure and directly below the In this triangle, the longest Reflection! and the Line of Reflection. figure are the same shape! side is the closest to the Line of Reflection. This is true in both the original figure, and the reflection. 11

Guess the Reflection! Problem #23 On Your Worksheet Guess the Reflection by drawing the Reflected Shape on your Paper! 12

Reflecting on a Graph Line of Reflection Each point on the figure is the same distance from the LINE OF REFLECTION. Now. . . Reflect the Figure. . . Across the Line of Reflection 1) Find the Line of Reflection 2) Measure the distance of a point from the Line of Reflection 3) Draw a point that same distance, in the other 13

Now, Reflect on Your Worksheet! Problem #4 on your Worksheet Reflect the Figure Across the Dotted Line 1) Find the Line of Reflection 2) Measure the distance of a point on the edge of the figure, to the Line of Reflection 3) Draw a point that same distance, in the other direction from the line 14

Draw the Line of Reflection! Problem#7 #8 on onyour Problem #5 on your Problem #6 on your Worksheet You will see two figures. One is shaded, and one has dots. Draw the Line of Reflection! 1) Remember, the Line of Reflection is the SAME DISTANCE from both 15 figures!

Rotation In a Rotation, the Center Point stays in the same place, and every other part of the figure moves. The farther a point is from the center of the figure, the further it moves. 16

Describing Rotations are most often described by the terms “Clockwise” or “Counter-Clockwise”. Clockwise 17

Describing Rotations are most often described by the terms “Clockwise” or “Counter-Clockwise”. Counter-Clockwise 18

Let’s Rotate! Quarter Rotation, Counter-Clockwise Half-Rotation, Clockwise Counter-Clockwise 19

Rotating on a Graph Center Point 3 Units from center to edge In a Rotation, the Center Point stays in the same place, and every other part of the figure moves. After rotating on a graph, make sure the edges of the figure are the same distance from the center point [to be sure the figure has not been stretched, shrunk, or reshaped]. 20 the In this case, the edges of

Name the Transformation! Figure A Figure B Problem #11 910 On Your Name the Transformation that Worksheet occurred between Figure A [The Original Figure] and Figure B [The Transformation]. A) Translation B) Reflection C) Rotation D) No Transformation 21

I can… translate figures on a coordinate plane Ø rotate figures on a coordinate plane Ø reflect figures on a coordinate plane Ø Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.

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