Assignment: Congruence Transformations Investigation Each question in this assignment asks you to describe a sequence of transformations that will transform the given preimage into the final image. Each problem will require two or more transformations. To receive full credit, you must describe each transformation in detail (specify lines of reflection, point of rotation, direction and degree of rotation, direction and distance of translation, etc.) Be sure to incorporate at least three of your module's vocabulary words into today's assignment. PART 1: a.) Describe a transformation sequence that will transform ABC into A'B'C'. b.) There is more than one way to transform ABC into A'B'C'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 2: a.) Describe a transformation sequence that will transform quadrilateral ABCD into quadrilateral A'B'C'D'. b.) There is more than one way to transform quadrilateral ABCD into quadrilateral A'B'C'D'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 3: a.) Describe a transformation sequence that will transform pentagon ABCDE into pentagon A'B'C'D'E'. b.) There is more than one way to transform pentagon ABCD into pentagon A'B'C'D'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 4: a.) Describe a transformation sequence that will transform hexagon ABCDE into hexagon A'B'C'D'E'. b.) There is more than one way to transform hexagon ABCDE into hexagon A'B'C'D'E'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 5: a.) Describe a series of at least two congruent transformations that will transform heptagon ABCDEFG into heptagon A'B'C'D'E'F'G'. b.) There is more than one way to transform heptagon ABCDEFG into heptagon A'B'C'D'E'F'G'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 Assignment: Scale Investigation K12 Inc. AV011413 Part 1 Each of the orange triangles above is a dilation of one of the green triangles. Match each triangle to its corresponding similar green triangle and scale factor: K12 Inc. AV011413 K12 Inc. AV011413 Part 2 1. Explain how you can verify the scale factor for each pair of similar figures. 2. Choose two similar triangles from the set of triangles. a. Use a ruler to measure all three lengths of one triangle but only two lengths of the other. Sketch the triangles below and label the 5 lengths measured. b. Explain how you can use the fact that the triangles are similar to determine the length of the remaining side of the other triangle without measuring it. K12 Inc. AV011413 Assignment: Similar Transformations Investigation Each question in this assignment asks you to describe a series of transformations that will transform the given pre-image into the final image. Each question will require two or more transformations. To receive full credit, you must describe each transformation in detail (specify lines of reflection, point of rotation, direction and degree of rotation, direction and distance of translation, etc.) PART 1: a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other? b.) Describe a series of at least two similar transformations that will transform ABC into A'B'C': c.) There is more than one way to transform ABC into A'B'C'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 2: a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other? b.) Describe a series of at least two similar transformations that will transform polygon ABCDE into A'B'C'D'E': c.) There is more than one way to transform polygon ABCDE into polygon A'B'C'D'E'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 3: a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other? b.) Describe a series of at least two similar transformations that will transform polygon MNOP into polygon M'N'O'P': c.) There is more than one way to transform polygon MNOP into polygon M'N'O'P'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 4: a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other? b.) Describe a series of at least two similar transformations that will transform polygon EFGH into polygon E'F'G'H'? c.) There is more than one way to transform polygon EFGH into polygon E'F'G'H'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413 PART 5: c.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other? d.) Describe a series of at least two similar transformations that will transform XYZ into X'Y'Z': c.) There is more than one way to transform XYZ into X'Y'Z'. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence. K12 Inc. AV011413