example, the pre-image coordinates of a triangle are A(4, 5), B(3, 7), and C(5, 7). The image coordinates are A(-4, 5), B(-3, 7), and C(-5, 7). What transformation occurred? 8.G.4. Understand that a 8.G.4 Similar figures and similarity are first introduced in the 8th grade. 3, 2 Geometry two-dimensional figure is Students understand similar figures have congruent angles and sides Unit similar to another if the that are proportional. Similar figures are produced from dilations. second can be obtained from the first by a Students describe the sequence that would produce similar figures, sequence of rotations, including the scale factors. reflections, translations, and dilations; given two Students understand that a scale factor greater than one will produce similar two-dimensional an enlargement in the figure, while a scale factor less than one will figures, describe a produce a reduction in size. sequence that exhibits the similarity between them. Example1: Is Figure A similar to Figure Explain how you know. A’? Solution: Dilated with a scale factor of . then reflected across the x-axis, making Figures A and similar. A’ Students need to be able to identify that triangles are similar or congruent based on given information. Example 2: Describe the sequence of transformations that results in the transformation of Figure A to Figure A’. Solution: 90° clockwise rotation, translate 4 right and 2 up, dilation of .. In this case, the scale factor of the dilation can be found by using the horizontal distances on the triangle (image = 2 units; pre-image = 4 units)
example, the pre-image coordinates of a triangle are A(4, 5), B(3, 7), and C(5, 7). The image coordinates are A(-4, 5), B(-3, 7), and C(-5, 7). What transformation occurred? 8.G.4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. 8.G.4 Similar figures and similarity are first introduced in the 8th grade. Students understand similar figures have congruent angles and sides that are proportional. Similar figures are produced from dilations. Students describe the sequence that would produce similar figures, including the scale factors. Students understand that a scale factor greater than one will produce an enlargement in the figure, while a scale factor less than one will produce a reduction in size. Example1: Is Figure A similar to Figure A’? Explain how you know. Solution: Dilated with a scale factor of . then reflected across the x-axis, making Figures A and A’ similar. Students need to be able to identify that triangles are similar or congruent based on given information. Example 2: Describe the sequence of transformations that results in the transformation of Figure A to Figure A’. Solution: 90° clockwise rotation, translate 4 right and 2 up, dilation of .. In this case, the scale factor of the dilation can be found by using the horizontal distances on the triangle (image = 2 units; pre-image = 4 units) 3, 2 Geometry Unit
8th%20CCSS%20alignment%20document%20revised%206-4-12.docx