# Ch 24: PSAT Math: Geometry and Measurement

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### About This Chapter

## PSAT Math: Geometry and Measurement - Chapter Summary

You will find that these video lessons help develop your knowledge in geometry and measurement concepts so that you feel comfortable when taking the PSAT math test. These video lessons prepare you to answer questions in the math portion of the PSAT, such as:

- Finding distance with the Pythagorean Theorem
- Identifying similar triangles, calculating the volumes of basic shapes and graphing an absolute value
- Graphing undefined and zero slopes
- Determining the area of triangles, rectangles and circles
- Identifying the types of angles
- Understanding the properties of 3-D objects

By studying the geometry and measurement concepts found above, you may be closer to achieving a high score when taking the PSAT math test. Our training is presented through easy-to-digest, short video lessons and supplementary quizzes. The quizzes were developed to provide you feedback that helps you assess your progress with geometry and measurement concepts.

### PSAT Math Objectives

The PSAT math test has 48 questions that must be completed within 70 minutes. The following three areas are emphasized on the PSAT math test:

- Heart of Algebra
- Problem solving and data analysis
- Passport to Advanced Math

The PSAT is tasked with helping you gauge how ready you may be to take the SAT, as well as assisting you to become familiar with the SAT's format. After receiving your PSAT scores, you can decide which areas of focus you may want to develop or maintain. Since the PSAT is cosponsored by the National Merit Scholarship Corporation (NMSC), you will be able to use their resources for career and college planning. Depending on your PSAT scores, you may qualify for an NMSC scholarship program.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. What are 3D Shapes? - Definition & Examples

What's the difference between 2D and 3D shapes? Learn the answer to this question in this lesson. You will also explore what makes spheres and cubes 3D shapes.

### 5. 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?

### 6. 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.

### 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.

### 8. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

### 9. Converting Between Radians and Degrees

Angles can be measured in degrees or radians. This lesson will explore the difference and provide you with a simple calculation that can be used to convert degrees into radians and radians into degrees.

### 10. How to Find the Arc Length of a Function

You don't always walk in a straight line. Sometimes, you want to know the distance between two points when the path is curved. In this lesson, you'll learn about finding the length of a curve.

### 11. Measurements of Lengths Involving Tangents, Chords and Secants

The lengths of chords, tangents and secants take on unique relationships when they're drawn on circles. In this lesson, we'll define those relationships and see them in action.

### 12. Finding the Area of a Sector: Formula & Practice Problems

In this lesson, you'll review your knowledge of circle vocabulary and then discover how to calculate the area of a sector of a circle. The lesson covers finding the area of the sector using degrees and radians.

### 13. How to Find the Measure of an Inscribed Angle

Finding the measure of an inscribed angle requires knowing a little information. In this lesson, we'll find the measure of an inscribed angle when we know the measure of the central angle or one or more of the arcs formed by the angle.

### 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.

### 15. Congruency of Right Triangles: Definition of LA and LL Theorems

In this lesson, we'll learn two theorems that help us prove when two right triangles are congruent to one another. The LA theorem, or leg-acute, and LL theorem, or leg-leg, are useful shortcuts for proving congruence.

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### Other Chapters

Other chapters within the PSAT Prep: Practice & Study Guide course

- PSAT: About the Test
- PSAT Writing: About the Writing & Language Test
- PSAT Writing: Sentence Clarity and Structure
- PSAT Writing Usage & Punctuation
- Word Use & Expressions in Writing
- Argument & Evidence Analysis in Writing
- About the PSAT Reading Test
- PSAT Reading: Reading Passages
- PSAT Reading: Understanding Reading Passages
- PSAT Reading: Interpretation & Analysis of Text
- Analyzing Data & Graphs in a Reading Passage
- PSAT Reading: Literary Terms
- Important U.S. Documents & Speeches
- Analyzing Words in Context while Reading
- PSAT Math: About the Math Test
- PSAT Math: Numbers and Operations
- PSAT Math: Equations and Expressions
- PSAT Math: Quadratic Equations
- PSAT Math: Exponents
- PSAT Math: Rational Equations and Expressions
- PSAT Math: Inequalities
- PSAT Math: Functions
- PSAT Math: Ratios, Rates & Proportion
- PSAT Math: Triangles & Trigonometric Ratios
- PSAT Math: Data Analysis, Statistics and Probability