HS.G.1

Attributes: Students will identify and describe geometric attributes, apply properties and theorems, and create two- dimensional shapes.

HS.G.1.aDemonstrate that two figures are similar or congruent by using a sequence of rigid motions and dilations that map a figure onto the other in problems both with and without coordinates.HS.G.1.bDescribe symmetries of a figure in terms of rigid motions that map a figure onto itself and make inferences about symmetric figures (e.g., unknown side lengths or angle measures) in problems both with and without coordinates.HS.G.1.cExplain how the criteria for triangle congruence and similarity (ASA, SAS, and AAS SSS congruence; AA similarity criterion) follow from the definition of congruence and similarity in terms of corresponding parts.HS.G.1.dIdentify and apply right triangle relationships including converse of the Pythagorean Theorem.HS.G.1.eApply side and angle relationships of special right triangles (30-60-90 and 45-45-90) to solve geometric problems.HS.G.1.fIdentify and apply right triangle relationships including sine, cosine, and tangent.HS.G.1.gApply interior and exterior angle formulas for n-gons and apply to authentic situations.HS.G.1.hCompare/contrast the properties of quadrilaterals: parallelograms, rectangles, rhombi, squares, kites, trapezoids, and isosceles trapezoids.HS.G.1.iUse slope and the distance formula to determine the type of quadrilateral.HS.G.1.jIdentify, describe, apply, and reason through properties of central angles, inscribed angles, angles formed by intersecting chords, secants, and/or tangents to find the measures of angles related to the circle, arc lengths, and areas of sectors.
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