#### G.1: The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include

G.1.a: identifying the converse, inverse, and contrapositive of a conditional statement;

#### G.2: The student will use the relationships between angles formed by two lines cut by a transversal to

G.2.a: determine whether two lines are parallel;

#### G.3: The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include

G.3.a: investigating and using formulas for finding distance, midpoint, and slope;

G.3.b: applying slope to verify and determine whether lines are parallel or perpendicular;

G.3.c: investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and

G.3.d: determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods.

#### G.4: The student will construct and justify the constructions of

G.4.a: a line segment congruent to a given line segment;

G.4.b: the perpendicular bisector of a line segment;

G.4.c: a perpendicular to a given line from a point not on the line;

G.4.d: a perpendicular to a given line at a given point on the line;

G.4.e: the bisector of a given angle;

G.4.f: an angle congruent to a given angle; and

G.4.g: a line parallel to a given line through a point not on the given line.

#### G.5: These concepts will be considered in the context of real-world situations.The student, given information concerning the lengths of sides and/or measures of angles in triangles, will

G.5.c: determine whether a triangle exists; and

#### G.11: The student will use angles, arcs, chords, tangents, and secants to

G.11.a: investigate, verify, and apply properties of circles;

G.11.c: find arc lengths and areas of sectors in circles.

#### G.14: The student will use similar geometric objects in two- or three-dimensions to

G.14.a: compare ratios between side lengths, perimeters, areas, and volumes;

G.14.d: solve real-world problems about similar geometric objects.

Correlation last revised: 9/16/2020

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