Describe a sequence of transformations that would map ABC onto QRS. 2 Describe a sequence of transformations that will map ABC onto DEF as shown below. 3 The graph below shows ABC and its image, A"B"C". Describe a sequence of rigid motions which would map ABC onto A"B"C".

Geometry Transformation Composition Worksheet Name irections: Plot the sequence of transformations on the grid and fill in the ch l. Pre-image: Transformations: R o r 1800 x—axis Order your Coordinates: Transformations: x-axis rt s you go! "(0)0) ) 10 -g -9 -8 -8 -e -5 -4 -a -2 2 2 3 -8 2 o -3 -6 as over 2. Pre-image: Transformations: T900 0 ...

Geometry CC WS 2.4 - Composition of transformations Combining two or more transformations to form a new transformation is called a composition of transformations. It can be thought of as sequence of transformations –the image of the first transformation is used as the pre-image for the second and so on.

Fill in the chart with the coordinates of the image. Attach your graph paper to the worksheet! 1. Pre-image: A(0,0), B(8,1), C(5,5) Rotate the figure 180°. 2. Pre-image: D(-12,6), E(-4,6), F(-6,9), G(-10,9) Translate the figure according to (x,y)→(x+1,y-6) . 3. Pre-image: H(2,2), I(-2,2), J(-2,-2), K(2,-2) Rotate the figure 180°. 4.

Directions: Use graph paper to perform the following transformations. Fill in the chart with the coordinates of the image. Use different color for each new image.

5 Find the coordinates of the image of (2,4) under the transformation r y− axis T3,−5. 6 What is the image that results from this composition of transformations? R90°. 90° y− axis(A)? R90° rx-axis B? T −6,−4. 11 Given ABC with points A(4,3), B(4,−2), and …

Graph the image of ABC after a composition of the transformations in the order they are listed. Match the composition with the diagram. 13) Rotate about Q , then translate parallel to.

Describe a two-step transformation of AB so that A b 2 ,3 g and B b 1 , 4 g . Give the coordinates of A and B. [5] [6] LMN Answers will vary. Sample: A(2, 2) and B(5, –5) are the original coordinates. The figure is translated 4 [7] units left and 1 unit up.

G.CO.A.5: Compositions of Transformations 1 www.jmap.org 3 5 In the diagram below, ABC ≅ DEF. Which sequence of transformations maps ABC onto DEF? 1) a reflection over the x-axis followed by a translation 2) a reflection over the y-axis followed by a translation 3) a rotation of 180° about the origin followed by a translation

Geometry Transformation Composition Worksheet Name_____ Directions: Use the provided graphs to perform the following compositions of transformations. Fill in the chart with the coordinates of each image. 1. Pre-image: A(0,0), B(8,1), C(5,5) Rotate the figure 180° Reflect the figure over the x-axis