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Ch 24: Geometry for Algebra Students

About This Chapter

Let us help you review for the Regents Algebra Exam. You can study the properties of shapes and types of angles through the video lessons and quizzes in this chapter.

Geometry for Algebra Students - Chapter Summary

For your Regents Algebra test preparation, this chapter offers valuable instruction on basic geometric concepts that can be beneficial to algebra students, such as angles, points, lines and properties of shapes. All of the following topics are included for your study:

  • Types of angles and lines
  • Properties of various basic shapes
  • Practice and application of the Pythagorean Theorem
  • Three-dimensional figures
  • Area and volume of various shapes and the application of scale factors

Each lesson offers an engaging video, a full text transcript of the video and a multiple-choice quiz. Video tags are available to help you locate specific portions on videos for additional review. Some lessons also provide links to extra lessons about basic terms and topics related to the chapter.

Regents Mathematics Algebra I Exam Objectives

As New York State transitions to the Common Core Learning Standards, the Integrated Algebra Exam becomes the Algebra I test. All high school students in the state must pass five subject-area tests, with scores of 65 or better, to earn the Regents Diploma.

This algebra test is composed of four parts, including concepts related to number and quantity, algebra, statistics and probability and functions. The questions are multiple-choice and free response, and you'll have three hours to complete the exam. Our short, multiple-choice quizzes can provide excellent practice for test day.

20 Lessons in Chapter 24: Geometry for Algebra Students
Test your knowledge with a 30-question chapter practice test
Points, Lines & Angles in Geometry

1. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

Types of Angles: Vertical, Corresponding, Alternate Interior & Others

2. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

Parallel, Perpendicular and Transverse Lines

3. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Properties of Shapes: Rectangles, Squares and Rhombuses

4. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

5. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.

Properties of Shapes: Triangles

6. Properties of Shapes: Triangles

Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.

Properties of Shapes: Circles

7. Properties of Shapes: Circles

Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.

Perimeter of Triangles and Rectangles

8. 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.

Area of Triangles and Rectangles

9. 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.

Circles: Area and Circumference

10. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

The Pythagorean Theorem: Practice and Application

11. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

How to Identify Similar Triangles

12. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

Applications of Similar Triangles

13. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

Angles and Triangles: Practice Problems

14. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

Vertical Angles & Complementary Angles: Definition & Examples

15. Vertical Angles & Complementary Angles: Definition & Examples

Special angles make your life easier. Learn how you can use the properties of special angles to help you find the measurements of missing angles in this video lesson.

Overview of Three-dimensional Shapes in Geometry

16. Overview of Three-dimensional Shapes in Geometry

We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.

How to Calculate the Volumes of Basic Shapes

17. 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?

Volume of Cylinders, Cones, and Spheres

18. 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.

Volume of Prisms and Pyramids

19. 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.

Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

20. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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