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- Identify various types of angles and angle relationships.
- Learn to calculate the perimeter and area of triangles and rectangles.
- Find out how you can translate complex problems into simple images.
- Review how to find the area and circumference of circles.
- Compare and contrast the properties of squares, rectangles and rhombuses.
- Learn to solve problems using similar triangles.
- Review how to apply the Pythagorean theorem.
- Explore types and properties of special right triangles.
- Find out how to calculate the volume of basic shapes.
1. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
Understanding angles and angle relationships allows for easier calculation of angle measurement. Learn how to define various types of angles, including vertical, corresponding, alternate interior angles, and how to calculate degree measurement using angle relationships.
2. Perimeter of Triangles and Rectangles
Perimeter is defined as the combined distance around a shape, object, or figure, while the perimeter of any polygon can be determined by adding the length of all sides. Learn about perimeter, how to use mathematical formulas to calculate the perimeter of triangles and rectangles, and how to use perimeter to determine the length of unknown polygon sides.
3. Area of Triangles and Rectangles
The area of a two-dimensional shape represents the space covered within its perimeter, but area calculations change depending on the shape. Learn how to calculate and solve the areas of right triangles, oblique triangles, and rectangles.
4. Angles and Triangles: Practice Problems
When solving angles, they should be equal to each other or added together to equal 180, and with solving triangles, all angles in every triangle added together must equal 180 degrees. Engage in practice problems solving angles and triangles.
5. How to Solve Visualizing Geometry Problems
Visualizing geometry problems involves knowing the expected results, and identifying the important pieces of information to make sure all the mathematical details match the word problem. See several examples of how to solve these problems correctly.
6. Circles: Area and Circumference
Like all geometric shapes, circles take up space and a formula is required to calculate the area. Learn about the area and circumference of circles, explore the formula to calculate a circle's area, and review examples that use the diameter and others that use the circumference to find the area of a circle.
7. Properties of Shapes: Rectangles, Squares and Rhombuses
Different objects come in different shapes that help achieve their purpose. Learn about the properties of different shapes, including rectangles, squares, and rhombuses.
8. Applications of Similar Triangles
Similar triangles have the same shape but differ in size. Learn about the applications of similar triangles, including how to use them and how to solve real-world problems with similar triangles.
9. How to Identify Similar Triangles
Similar triangles are defined as two triangles that possess proportional corresponding sides and congruent corresponding angles. Triangle similarity theorems use angle and side comparisons to determine whether two triangles are similar. Learn about the language of similarity, triangle similarity theorems (Angle-Angle, Side-Angle-Side, & Side-Side-Side), and how to use theorems to identify similar triangles.
10. The Pythagorean Theorem: Practice and Application
Discover how the Pythagorean theorem helps people to solve for all sides of a triangle. Learn about the basics, purpose, and applications of the Pythagorean theorem.
11. Special Right Triangles: Types and Properties
There are two types of special right triangles that have either 30-60-90 degree angles or 45-45-90 degree angles. Learn more about the definitions and explore the properties of 30-60-90 and 45-45-90 degree angles of special right triangles through examples.
12. Finding Distance with the Pythagorean Theorem
The Pythagorean theorem outlines principles for right triangles, but it can also be used to calculate distance between points. Learn how this theorem is applied to practical examples of ice cream, skateboard ramps, and even the cliff-peak in 'The Lion King.'
13. How to Calculate the Volumes of Basic Shapes
The basic formula for volume is length * width * height and is necessary in geometry and the science of understanding mass in the form of basic shapes. Learn more about how to calculate the volumes of basic shapes and use the methodologies.
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