About This Chapter
Geometric Angles & Shapes - Chapter Summary
This chapter's lessons look at lines, points and angles in geometry. Our instructors will go over the types of angles and explain the basic shapes used in geometry and their properties. You'll learn to calculate the area of circles, triangles and rectangles and apply the Pythagorean theorem.
Other lessons look at similar triangles, vertical and complementary angles and three-dimensional shapes. Calculating the volumes of basic shapes is also discussed here. These video lessons should prepare you to:
- Describe types of angles
- Name properties of triangles, rectangles, squares and rhombuses
- Use the Pythagorean theorem
- Define vertical and complementary angles
- Calculate the volume of cylinders, cones, spheres, prisms and pyramids
These brief, engaging video lessons are designed and taught by expert instructors. Multiple-choice quizzes at the end of each lesson let you check your learning. The timeline offers a jump feature that allows you to easily return to topics in the lessons that require further review. If you still have questions, you can contact the instructor.
1. Perimeter of Triangles and Rectangles
Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.
2. Area of Triangles and Rectangles
How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.
3. Circles: Area and Circumference
Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. In this lesson, learn how to find the area and circumference of circles by working through several examples.
4. How to Calculate the Volumes of Basic Shapes
Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?
5. Volume of Cylinders, Cones, and Spheres
In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.
6. Volume of Prisms and Pyramids
In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.
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Other chapters within the Accuplacer Math: Advanced Algebra and Functions Placement Test Study Guide course
- Arithmetic with Rational Expressions
- Factoring in Algebra
- Expanding Polynomials
- Manipulating Roots
- Working with Exponents & Exponential Expressions
- Solving & Graphing Linear Equations
- Quadratic Equations
- Calculating & Graphing Inequalities
- Solving Systems of Linear Equations
- Line Theorems
- Similarity & Congruency in Geometry
- Pythagorean Theorem
- Graphs of Algebraic Functions
- Understanding Exponential & Logarithmic Functions
- Trigonometric Functions & Equations
- Accuplacer Math: Advanced Algebra and Functions Placement Test Flashcards