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Ch 29: ACT Math: Plane Geometry

About This Chapter

Learn about plane geometry to help prep for the math section of the ACT. This chapter offers 2 hours of fun and engaging video lessons to teach concepts or review things you've already learned. Quiz yourself with lesson quizzes and a chapter exam to make sure you're ready to take on the ACT.

ACT Math: Plane Geometry - Chapter Summary

Go over these crucial plane geometry concepts for help in passing the math section of the ACT test. Our short video lessons address the following topics:

  • Types of angles
  • Types of lines
  • Properties of circles, rectangles, triangles and special right triangles
  • Perimeter and area of triangles and rectangles
  • Pythagorean theorem
  • Area and circumference of circles
  • Volumes of basic shapes

This chapter includes review in the practice and application of finding distance with the Pythagorean theorem. Go over vertical, corresponding and alternate interior angles in addition to parallel, perpendicular and transverse lines. Take the quizzes for immediate feedback, to see if you're ready for the ACT math test.

ACT Math Objectives

The math portion of the ACT test is a 60-question, 60-minute assessment. The multiple-choice questions check your reasoning skills in the solutions of math problems. The math test addresses the following six areas:

  • Plane geometry
  • Coordinate geometry
  • Trigonometry
  • Pre-algebra
  • Elementary algebra
  • Intermediate algebra

The plane geometry portion of the test comprises 23% of the problems. Questions check your understanding of the following:

  • Properties and relations of plane figures
  • Relations among parallel and perpendicular lines
  • Properties of trapezoids, parallelograms, rectangles, triangles and circles
  • Transformations
  • Proof techniques
  • Volume
  • Geometry applications to three dimensions

You'll receive four scores for the math test, including three sub-scores in plane geometry/trigonometry, pre-algebra/elementary algebra and intermediate algebra/coordinate geometry, in addition to an overall score for all 60 questions.

15 Lessons in Chapter 29: ACT Math: Plane Geometry
How to Solve Visualizing Geometry Problems

1. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

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.

Parallelograms: Definition, Properties, and Proof Theorems

5. Parallelograms: Definition, Properties, and Proof Theorems

Watch this video lesson to learn how you can identify parallelograms. You will see the unique properties that belong to the parallelogram. You will see the special side and angle characteristics needed to prove a certain shape is a parallelogram.

Trapezoids: Definition and Properties

6. Trapezoids: Definition and Properties

Watch this video lesson to learn what a trapezoid has to do with a triangle. Also learn the special words that describe the various parts of a trapezoid. You will also see special types of trapezoids.

Circles: Area and Circumference

7. 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.

Properties of Shapes: Circles

8. 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.

How to Calculate the Volumes of Basic Shapes

9. 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?

Planes and the Polyhedron: Definition and Example

10. Planes and the Polyhedron: Definition and Example

Did you ever wonder what the pyramids in Egypt have to do with math? Watch this video to find out where in math a pyramid comes into play. Also, learn how flat, 2-dimensional shapes also come into play.

Prisms: Definition, Area & Volume

11. Prisms: Definition, Area & Volume

Watch this video lesson and you will see that there are different kinds of prisms. You will also learn how to separate a prism into its various parts so you can easily find the surface area. You will also learn the formula for the volume.

Pyramids: Definition, Area & Volume

12. Pyramids: Definition, Area & Volume

Do you think of the great pyramids of Egypt when you hear the word pyramids? Watch this video lesson to learn why they are called pyramids and also how to find their surface area and volume.

What Are Cylinders? - Definition, Area & Volume

13. What Are Cylinders? - Definition, Area & Volume

Watch this video lesson to learn why soda cans are cylinders and the method by which you can discover how much soda can fit inside by finding the volume. You will also learn about finding a cylinder's surface area.

Cones: Definition, Area & Volume

14. Cones: Definition, Area & Volume

Watch this video lesson to learn where in the real world you will see cones. Also, you will learn the formulas for finding the surface area and volume of these cones.

Spheres: Definition, Area & Volume

15. Spheres: Definition, Area & Volume

Watch this video lesson to learn how you can find the surface area and volume of spheres. Learn the formulas and measurements you need to solve problems and discover how to identify spheres in the real world.

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