Ch 13: ELM Test - Geometry: Properties of Objects

About This Chapter

Be prepared to answer geometry questions of the ELM exam by completing this chapter on properties of objects. The ELM is required of students who plan to attend a California State University school; the test allows you to prove your proficiency in math.

ELM Geometry: Perimeter, Area & Volume - Chapter Summary

Study the following concepts in geometry in preparation for the ELM math placement exam:

  • Properties of Shapes: Triangles, Circles and Rectangles
  • Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
  • How to Identify Similar Triangles
  • Applications of Similar Triangles
  • Congruent and Similar Shapes
  • Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
  • Parallel, Perpendicular and Transverse Lines
  • Types of Angles: Vertical, Corresponding, Alternate Interior & Others
  • Angles and Triangles: Practice Problems
  • The Pythagorean Theorem: Practice and Application

ELM Objectives

The ELM is a math proficiency exam required for all incoming students to schools in the California State University system. You can learn more about the topics on the ELM by clicking here.

The lessons in this chapter are dedicated to the Properties of Objects of the Geometry section of the ELM exam. Geometry constitutes approximately 30% of the entire exam. Students can watch our online videos and test their skills with interactive quizzes.

Other topics in Geometry covered by this course include:

  • Finding the perimeter of geometric shapes
  • Calculating the area of geometric shapes
  • Using the Pythagorean Theorem
  • Identifying points on the number line
  • Graphing functions with one or more variables

10 Lessons in Chapter 13: ELM Test - Geometry: Properties of Objects
Test your knowledge with a 30-question chapter practice test
Properties of Shapes: Rectangles, Squares and Rhombuses

1. 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

2. 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.

How to Identify Similar Triangles

3. 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

4. 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.

Properties of Congruent and Similar Shapes

5. Properties of Congruent and Similar Shapes

In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.

Parallel, Perpendicular and Transverse Lines

6. 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.

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

7. 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.

Angles and Triangles: Practice Problems

8. 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.

The Pythagorean Theorem: Practice and Application

9. 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.

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

10. 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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