The Content Standards and Essential Skills and Knowledge statements shown in this section come directly from the Geometry framework document. Clarifications and teacher notes were added to provide additional support as needed. Educators should be cautioned against perceiving this as a checklist. Formatting Notes Red Bold- items unique to Maryland Common Core State Curriculum Frameworks Blue bold words/phrases that are linked to clarifications – Black bold underline- words within repeated standards that indicate the portion of the statement that is emphasized at this point in the curriculum or words that draw attention to an area of focus Black bold- Cluster Notes-notes that pertain to all of the standards within the cluster Green bold standard codes from other courses that are referenced and are hot linked to a full description – Standard Essential Skills and Clarification/Teacher Notes Knowledge G.C.1 Prove that all In general, two figures are similar if there is a set of transformations See the skills and • circles are similar. that will move one figure exactly covering the other. To prove any two knowledge that are circles are similar, only a translation (slide) and dilation (enlargement or stated in the reduction) are necessary. This can always be done by using the Standard. differences in the center coordinates to determine the translation and determining the quotient of the radii for the dilation. Example Show that circle C with center (–1, 2) and radius 3 is similar to circle D with center (3, 4) radius 5. To transform circle C to the larger circle D we only need to find the translation for the center and the enlargement ratio for the radius. The translation is to slide the center 4 units to the right and two units up. To enlarge circle C to the same radius as D, the enlargement ratio is the quotient of the radii: 5/3. G.C.2 Identify and See the skills and describe relationships knowledge that are among inscribed angles, stated in the
The Content Standards and Essential Skills and Knowledge statements shown in this section come directly from the Geometry framework document. Clarifications and teacher notes were added to provide additional support as needed. Educators should be cautioned against perceiving this as a checklist. Formatting Notes Red Bold- items unique to Maryland Common Core State Curriculum Frameworks Blue bold – words/phrases that are linked to clarifications Black bold underline- words within repeated standards that indicate the portion of the statement that is emphasized at this point in the curriculum or words that draw attention to an area of focus Black bold- Cluster Notes-notes that pertain to all of the standards within the cluster Green bold – standard codes from other courses that are referenced and are hot linked to a full description Standard Essential Skills and Knowledge Clarification/Teacher Notes G.C.1 Prove that all circles are similar. See the skills and knowledge that are stated in the Standard. • In general, two figures are similar if there is a set of transformations that will move one figure exactly covering the other. To prove any two circles are similar, only a translation (slide) and dilation (enlargement or reduction) are necessary. This can always be done by using the differences in the center coordinates to determine the translation and determining the quotient of the radii for the dilation. Example Show that circle C with center (–1, 2) and radius 3 is similar to circle D with center (3, 4) radius 5. To transform circle C to the larger circle D we only need to find the translation for the center and the enlargement ratio for the radius. The translation is to slide the center 4 units to the right and two units up. To enlarge circle C to the same radius as D, the enlargement ratio is the quotient of the radii: 5/3. G.C.2 Identify and describe relationships among inscribed angles, See the skills and knowledge that are stated in the