Unit 5: Motion Geometry
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1 Rotations Unit 5: Translations Motion Geometry Reflections 1
2 Translations translation is also called a "slide." When you slide a shape it keeps its original orientation. It does not turn (rotate) or flip. Every point of the shape moves the same distance and in the same direction. The 2 D shape and its image are congruent. Rectangle has been translated. How has the position of the rectangle changed? How has it stayed the same? How can we describe the movement of Rectangle? 2
3 Translations Practice (Website) Click Here 3
4 Describe the translation of Trapezoid : Don't forget to label the vertices of the shape and the corresponding vertices of its image. Describe the change in the x coordinates of the vertices. Describe the change in the y coordinates of the vertices. 4
5 Describe the translation of Rhombus. 5
6 Describe the translation of Triangle. 6
7 Move the shapes as directed. Translate the triangle right 3 units and up 5 units. 7
8 Translate the trapezoid left 2 units and down 7 units. 8
9 Translate the parallelogram left 5 units and up 2 units. 9
10 Which shapes below are translations of shape? How do you know? Describe the translations. B C E D 10
11 Reflections Reflections can be horizontal, vertical, or diagonal. No matter where the shape is in relation to the line of reflection, the image is always the same distance from the line as the original shape. The shape and its image are of opposite orientation and are congruent. Reflection BC using the given line of reflection. B C 11
12 Move the shape as directed. Reflect the triangle up across the given line of reflection. R T S Describe the change in the x coordinates of the vertices. Describe the change in the y coordinates of the vertices. 12
13 Move the shape as directed. Reflect the triangle across the given line of reflection. E F G Describe the change in the x coordinates of the vertices. Describe the change in the y coordinates of the vertices. 13
14 Move the shape as directed. Reflect the triangle across the given line of reflection. B C Describe the change in the x coordinates of the vertices. Describe the change in the y coordinates of the vertices. 14
15 Now you try it! Move the shape as directed. Reflect the triangle across the given line of reflection. Label the vertices of the image. Describe the orientation. Describe the distance of the image from the line of reflection. B C 15
16 Rotations When describing a rotation, your description should include: mount of rotation: Can be in degrees (e.g., 90) or fractions (e.g., 1/4 turn) Direction of turn: Clockwise (cw) or counter clockwise (ccw) The center of rotation (e.g., center of rotation is D (5, 2) F E G F D G E ll vertices move together in the same direction. The shape and its resulting image are congruent. The orientation of the shape and its image are different
17 Rotations Practice (Website) Click Here 17
18 Rotations Rotate BC 1/4 (90 ) turn clockwise about (4, 3). Write the vertices of the rotated image B C
19 Rotations Rotate BC 1/2 (180 ) turn clockwise about (3, 3). Write the vertices of the rotated image B C
20 B C Rotations Rotate BC 3/4 (270 ) turn clockwise about (2, 6). Write the vertices of the rotated image
21 Combining Like Transformations: Translations Translate JKL 3 units right and 4 units down (R3, D4). Then, translate J K L 2 units left and up 1 unit (L2, U1). 8 J K L
22 Combining Like Transformations: Reflections Reflect QRS across the line of reflection from (5, 1) to (5, 4). Then, reflect Q R S across the line of reflection from (5, 6) and (5, 9) Q 2 1 R S
23 Combining Like Transformations: Rotations Rotate BC 1/4 turn counterclockwise about (6, 4). Then, rotate B C 1/2 turn clockwise about (4, 3) B C
24 Combining Different Transformations Reflect BC across the line of reflection between (6, 5) and (6, 8). Then, translate its image 2 units to the left and 3 units down (L2, 3D) B C
25 Combining Different Transformations Translate LMN 4 units to the right and 1 unit up (R4, U1). Then, rotate its image 1/4 turn clockwise about (4, 6) B C
26 26
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