Unit Review: Transformations

K.1Name the transformation that maps each figure onto its image (′): translation, reflection, rotation, or dilation.

1. 1
   Transformation: 
2. 2
   Transformation: 
3. 3
   Transformation: 
4. 4
   Transformation: 

K.2Translate each figure. Draw the image and write the coordinates of its vertices.

1. 5
   1 right, 3 up: 
2. 6
   3 right, 1 up: 
3. 7
   5 down: 
4. 8
   2 down: 

K.3Reflect each figure. Draw the image and write the coordinates of its vertices.

1. 9
   Over the $y$-axis: 
2. 10
   Over the $y$-axis: 

K.3Reflect each figure. Draw the image and write the coordinates of its vertices. (continued)

1. 11
   Over the $y$-axis: 
2. 12
   Over the $y$-axis: 

K.4Rotate each figure about the origin. Draw the image and write the coordinates of its vertices.

1. 13
   $90^{\circ }$ counterclockwise: 
2. 14
   $90^{\circ }$ clockwise: 

K.4Rotate each figure about the origin. Draw the image and write the coordinates of its vertices. (continued)

1. 15
   $90^{\circ }$ counterclockwise: 
2. 16
   $90^{\circ }$ clockwise: 

K.5Dilate each figure about the origin. Draw the image and write the coordinates of its vertices.

1. 17
   Scale factor $\frac{1}{2}$: 
2. 18
   Scale factor $\frac{1}{2}$: 

K.5Dilate each figure about the origin. Draw the image and write the coordinates of its vertices. (continued)

1. 19
   Scale factor $\frac{1}{2}$: 
2. 20
   Scale factor $\frac{1}{2}$: 

K.6Translate, reflect, rotate about the origin, or dilate from it, as shown. Draw the image and write its vertices.

1. 21
   $90^{\circ }$ counterclockwise: 
2. 22
   $180^{\circ }$: 

K.6Translate, reflect, rotate about the origin, or dilate from it, as shown. Draw the image and write its vertices. (continued)

1. 23
   $90^{\circ }$ counterclockwise: 
2. 24
   Over the $y$-axis: 

K.1Identify Transformations

1. 1rotation
2. 2rotation
3. 3reflection
4. 4translation

K.2Translations

1. 5$A^{\prime }(2,0)$, $B^{\prime }(-4,-2)$, $C^{\prime }(-1,1)$
2. 6$A^{\prime }(1,-2)$, $B^{\prime }(5,-4)$, $C^{\prime }(1,3)$, $D^{\prime }(-2,5)$
3. 7$A^{\prime }(5,-3)$, $B^{\prime }(3,-5)$, $C^{\prime }(-3,-2)$
4. 8$A^{\prime }(-5,-2)$, $B^{\prime }(0,-5)$, $C^{\prime }(5,0)$, $D^{\prime }(1,2)$

K.3Reflections over the Axes

1. 9$A^{\prime }(4,-1)$, $B^{\prime }(1,-2)$, $C^{\prime }(1,3)$, $D^{\prime }(5,5)$
2. 10$A^{\prime }(-2,-3)$, $B^{\prime }(-4,-4)$, $C^{\prime }(-3,5)$
3. 11$A^{\prime }(-5,-2)$, $B^{\prime }(-1,-2)$, $C^{\prime }(-1,1)$
4. 12$A^{\prime }(-5,-3)$, $B^{\prime }(-4,-5)$, $C^{\prime }(-3,4)$

K.4Rotations about the Origin

1. 13$A^{\prime }(3,1)$, $B^{\prime }(-1,-2)$, $C^{\prime }(-1,-5)$
2. 14$A^{\prime }(-3,5)$, $B^{\prime }(1,-2)$, $C^{\prime }(5,-5)$, $D^{\prime }(5,4)$
3. 15$A^{\prime }(2,-1)$, $B^{\prime }(-3,-5)$, $C^{\prime }(-1,1)$
4. 16$A^{\prime }(-4,3)$, $B^{\prime }(4,-4)$, $C^{\prime }(3,1)$

K.5Dilations

1. 17$A^{\prime }(-1,-1)$, $B^{\prime }(2,-2)$, $C^{\prime }(2,1)$, $D^{\prime }(-1,2)$
2. 18$A^{\prime }(0,-1)$, $B^{\prime }(2,-2)$, $C^{\prime }(2,1)$, $D^{\prime }(-2,2)$
3. 19$A^{\prime }(-2,-1)$, $B^{\prime }(1,0)$, $C^{\prime }(1,2)$, $D^{\prime }(-2,1)$
4. 20$A^{\prime }(-2,-2)$, $B^{\prime }(1,-1)$, $C^{\prime }(-1,2)$

K.6Transformations Review

1. 21$A^{\prime }(-2,3)$, $B^{\prime }(3,0)$, $C^{\prime }(1,4)$
2. 22$A^{\prime }(1,-4)$, $B^{\prime }(-5,2)$, $C^{\prime }(4,1)$
3. 23$A^{\prime }(2,3)$, $B^{\prime }(-4,1)$, $C^{\prime }(-2,-3)$
4. 24$A^{\prime }(-2,5)$, $B^{\prime }(-4,4)$, $C^{\prime }(-5,-4)$