### 1: Angles and Lines

#### 1.1: Understand the relationship between special angles created by parallel lines and transversals.

Constructing Congruent Segments and Angles

Triangle Angle Sum

### 2: Congruence and Similarity

#### 2.1: Use theorems to show whether two triangles are congruent or similar and to find more information about pairs of congruent triangles. Solve problems involving congruent and similar polygons and solids.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

Similar Figures

### 3: Triangles

#### 3.1: Prove the Pythagorean Theorem and its converse and use them to solve problems involving the length of a segment in the coordinate plane. For general triangles, prove that the sum of the angles is 180 degrees. Define trigonometric functions in terms of angles of right triangles and use them to solve problems.

Isosceles and Equilateral Triangles

Triangle Angle Sum

### 5: Circles

#### 5.1: Define, deduce and use formulas for, and prove theorems for:

5.1.a: radius, diameter, arc, chord, secant and tangent;

Inscribed Angles

5.1.b: measures of arcs and related angles (central, inscribed, and intersections of secants and tangents); and

Inscribed Angles

5.1.c: circumference, arc length and areas of circles and sectors.

Circumference and Area of Circles

### 6: Solids

#### 6.1: Find and use measures of sides, volumes of solids, and surface areas of solids. Relate these measures to each other using formulas.

Surface and Lateral Areas of Prisms and Cylinders

### 7: Coordinate Geometry

#### 7.1: Find slopes, lengths and midpoints of line segments using coordinate geometry. Use these measures to show whether shapes are similar or congruent, and whether line segments are parallel or perpendicular. Find the equation of a circle in the coordinate plane.

Circles

### 8: Transformations

#### 8.1: Predict and describe the results of translations, reflections and rotations. Describe a motion or series of motions that will show that two shapes are congruent.

Reflections

Rotations, Reflections, and Translations

Translations

Correlation last revised: 5/11/2018