Common Core State
HSG.SRT.B5
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
October 1, 2018HSG.SRT.C6
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
October 1, 2018HSG.SRT.C7
Explain and use the relationship between the sine and cosine of complementary angles.
October 1, 2018HSG.SRT.C8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
October 1, 2018HSG.SRT.D9
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
October 1, 2018HSG.GPE.B7
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*
October 1, 2018HSG.CO.C9
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; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
October 1, 2018HSG.CO.C10
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
October 1, 2018HSG.CO.C11
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
October 1, 2018HSG.CO.D12
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line … Read More “HSG.CO.D12”
October 1, 2018HSG.CO.D13
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
October 1, 2018