### 2: Congruence

#### 2.8: Prove, and apply in mathematical and real-world contexts, theorems about lines and angles, including the following:

2.8.1: vertical angles are congruent;

2.8.2: when a transversal crosses parallel lines, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles are supplementary;

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

2.9.1: measures of interior angles of a triangle sum to 180°;

2.9.4: the medians of a triangle meet at a point.

#### 2.10: Prove, and apply in mathematical and real-world contexts, theorems about parallelograms, including the following:

2.10.1: opposite sides of a parallelogram are congruent;

2.10.2: opposite angles of a parallelogram are congruent;

2.10.3: diagonals of a parallelogram bisect each other;

2.10.4: rectangles are parallelograms with congruent diagonals;

### 6: Similarity, Right Triangles, and Trigonometry

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

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

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

6.4.3: The square of the hypotenuse of a right triangle is equal to the sum of squares of the other two sides.

### 7: Interpreting Data

#### 7.3: 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: 1/5/2017

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