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Mathematics | Grade : 7
Domain - Geometry
Cluster - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
[7.G.B.5] - Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write simple equations and use them to solve for an unknown angle in a figure.
[8.G.A.1] -
Verify experimentally the properties of rotations, reflections, and translations.
[GEO.G-CO.C.9] -
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent, and conversely prove lines are parallel; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
[GEO.G-SRT.B.5] -
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
[MII.G-CO.C.9] -
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent, and conversely prove lines are parallel; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
[MII.G-SRT.B.5] -
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.