### G.GCO: Congruence

#### G.GCO.8: Prove, and apply in mathematical and real-world contexts, theorems about lines and angles, including the following:

G.GCO.8.a: vertical angles are congruent;

G.GCO.8.b: when a transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles are supplementary;

G.GCO.8.c: any point on a perpendicular bisector of a line segment is equidistant from the endpoints of the segment;

G.GCO.8.d: perpendicular lines form four right angles.

#### G.GCO.9: Prove, and apply in mathematical and real-world contexts, theorems about the relationships within and among triangles, including the following:

G.GCO.9.a: measures of interior angles of a triangle sum to 180°;

G.GCO.9.b: base angles of isosceles triangles are congruent;

G.GCO.9.c: the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length;

G.GCO.9.d: the medians of a triangle meet at a point.

#### G.GCO.10: Prove, and apply in mathematical and real-world contexts, theorems about parallelograms, including the following:

G.GCO.10.a: opposite sides of a parallelogram are congruent;

G.GCO.10.b: opposite angles of a parallelogram are congruent;

G.GCO.10.c: diagonals of a parallelogram bisect each other;

G.GCO.10.d: rectangles are parallelograms with congruent diagonals;

G.GCO.10.e: a parallelogram is a rhombus if and only if the diagonals are perpendicular

### G.GSRT: Similarity, Right Triangles, and Trigonometry

#### G.GSRT.4: Prove, and apply in mathematical and real-world contexts, theorems involving similarity about triangles, including the following:

G.GSRT.4.a: A line drawn parallel to one side of a triangle divides the other two sides into parts of equal proportion.

G.GSRT.4.b: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

G.GSRT.4.c: The square of the hypotenuse of a right triangle is equal to the sum of squares of the other two sides.

### G.SPID: Interpreting Data

#### G.SPID.3: Summarize and represent data from a single data set. Interpret differences in shape, center, and spread in the context of the data set, accounting for possible effects of extreme data points (outliers).

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.