### Geometry

**WEBSITES FOR EXTRA HELP**

- Geometry
- Chapter 1- Basics of Geometry
### Chapter 1- Basics of Geometry

Standards:

Know precise definitions of angles, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G-CO.1

Make formal geometric constructions with a variety of tools and methods. G-CO.12

Use coordinates to prove simple geometry theorems algebraically. G-GPE.4

Use Coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. G-GPE.7

Use units as a way to understand problems and to guide the solution of multi-step problems: choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. N-Q.1

- Chapter 2 - Reasonings and Proof
### Chapter 2 - Reasonings and Proof

Standards:

Prove theorems about line and angles. G-CO.9

Prove theorems about triangles. G-CO.10

Prove theorems about parallelograms. G-CO.11

- Chapter 3- Parallel and Perpendicular Lines
### Chapter 3- Parallel and Perpendicular Lines

Standards:

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of points, line, distance along a line, and distance around a circular arc. G-CO.1

Prove theorems about line and angles. G-CO.9

Prove theorems about triangles. G-CO.10

Make formal geometric constructions with a variety of tools and methods. G-CO12

Apply geometric methods to solve design problems. G-MG.3

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems. G-GPE.5

- Chapter 4 - Congruent Triangles
### Chapter 4 - Congruent Triangles

Standards:

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G-CO.7

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G-CO.8

Prove theorems about triangles. G-CO.10

Make formal geometric constructions with a variety of tools and methods. G-CO.12

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G-SRT.5

- Chapter 5 - Relationships within Triangles
### Chapter 5 - Relationships within Triangles

Chapter Outcomes

Prove theorems about triangles. G-CO.10

Construct and equilateral triangle, a square, and a regular hexagon inscribed in a circle. G-CO.13

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. G-C.3

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G-SRT5

- Chapter 6 - Quadrilaterals
### Chapter 6 - Quadrilaterals

Standards:

Prove theorems about triangles. G-CO.10

Prove theorems about about parallelograms. G.CO.11

Use coordinates to prove simple geometric theorems algebraically. G-GPE.4

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles; e.g. using the distance formula. G.GPE.7

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometry figures. G-SRT.5

- Chapter 7 - Area
### Chapter 7 - Area

Standards:

Given a geometric figure and a rotation, refection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. G-C.5

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G-CO.1

Construct and equilateral triangle, a square, and a regular hexagon inscribed in a circle. G-CO.13

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles. G-GPE.7

Use geometric shapes, their measures, and their properties to describe objects. G.MG.1

Derive the formula A = 1/2 ab sine@ for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. G-SRT.9

Use units as a way the understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and origin in graphs and data displays. N-Q.1

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events. S-CP.1

- Chapter 8 - Similarity
### Chapter 8 - Similarity

Standards:

Create equations and inequalities in one variable and use them to solve problems. A-CED.1

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.GPE.5

Prove theorems about triangles. G-SRT.4

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G-SRT.5

- Chapter 9 - Right Triangle Trigonometry
### Chapter 9 - Right Triangle Trigonometry

Standards:

Prove theorems about triangles. G-SRT.4

Understand that by similarity, side ratios in right triangles are properties of the angels in the triangle, leading to definitions of trigonometric ratios for acute angles. G-SRT.6

Explain and use the relationship between the sine and cosine of complementary angles. G-SRT.7

Use trigonometric shapes, their measures, and their properties to describe objects. G-SRT.8

Use geometric shapes, their measures, and their properties to describe objects. G-MG.1

Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes. N-VM.1

Add and subtract vectors. N-VM.4

Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. N-VM.4a