#### G.G: Geometry

G.G.8: Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines

G.G.17: Construct a bisector of a given angle, using a straightedge and compass, and justify the construction

G.G.18: Construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction

G.G.19: Construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction

G.G.21: Investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles

G.G.24: Determine the negation of a statement and establish its truth value

G.G.25: Know and apply the conditions under which a compound statement (conjunction, disjunction, conditional, biconditional) is true

G.G.26: Identify and write the inverse, converse, and contrapositive of a given conditional statement and note the logical equivalences

G.G.27: Write a proof arguing from a given hypothesis to a given conclusion

G.G.29: Identify corresponding parts of congruent triangles

G.G.30: Investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle

G.G.34: Determine either the longest side of a triangle given the three angle measures or the largest angle given the lengths of three sides of a triangle

G.G.36: Investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons

G.G.37: Investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons

G.G.38: Investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals

G.G.39: Investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals

G.G.41: Justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids

G.G.44: Establish similarity of triangles, using the following theorems: AA, SAS, and SSS

G.G.45: Investigate, justify, and apply theorems about similar triangles

G.G.48: Investigate, justify, and apply the Pythagorean theorem and its converse

G.G.55: Investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections

G.G.58: Define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries)

G.G.59: Investigate, justify, and apply the properties that remain invariant under similarities

G.G.61: Investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90º and 180º, reflections over the lines x = 0, y = 0, and y = x, and dilations centered at the origin

G.G.64: Find the equation of a line, given a point on the line and the equation of a line perpendicular to the given line

G.G.65: Find the equation of a line, given a point on the line and the equation of a line parallel to the desired line

G.G.69: Investigate, justify, and apply the properties of triangles and quadrilaterals in the coordinate plane, using the distance, midpoint, and slope formulas

G.G.71: Write the equation of a circle, given its center and radius or given the endpoints of a diameter

G.G.72: Write the equation of a circle, given its graph Note: The center is an ordered pair of integers and the radius is an integer.

G.G.73: Find the center and radius of a circle, given the equation of the circle in center-radius form

G.G.74: Graph circles of the form (x - h)² + (j - k)² = r²

Correlation last revised: 5/21/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.