In geometry, the term "sides" refers to the straight lines that form the boundaries of a two-dimensional shape or the edges of a three-dimensional object. The number of sides a shape has depends on its type. Here are some common shapes and their respective number of sides:

**Triangle:**3 sides**Quadrilateral:**4 sides**Pentagon:**5 sides**Hexagon:**6 sides**Heptagon (or Septagon):**7 sides**Octagon:**8 sides**Nonagon:**9 sides**Decagon:**10 sides

Each side of a polygon has certain properties that are important to understand:

**Length:**The distance between the endpoints of a side.**Orientation:**The direction in which the side is traced, usually either clockwise or counterclockwise.**Position:**The relative location of the side with respect to other sides of the shape.**Relationships:**The angles and lengths formed by different sides in a polygon, which can have various mathematical relationships.

When studying sides in geometry, it's important to focus on the following key concepts:

- Identifying the number of sides in different polygons and being able to recognize and name these polygons.
- Understanding the properties of sides, including length, orientation, and position in a shape.
- Exploring the relationships between sides and angles within polygons, such as the sum of interior angles in a polygon.
- Applying the concept of sides to solve problems involving perimeter, area, and other geometric measurements.

By mastering these concepts, you'll develop a strong foundation in geometry and be able to confidently work with sides in various shapes and figures.

Good luck with your studies!

.Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.