# Ch 16: PSAT Math - Geometry and Measurement: Tutoring Solution

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### About This Chapter

## How it works:

- Begin your assignment or other PSAT prep work.
- Identify the geometry and measurement concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our PSAT Prep Tutoring Solution will benefit any student who is trying to learn about geometry and measurement and prepare for the exam. This resource can help students including those who:

- Struggle with understanding angle types, perimeter and area of triangles, the Pythagorean Theorem, volume of shapes, distance formula, absolute values or any other geometry and measurement topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their geometry and measurement unit
- Cope with ADD or ADHD
- Want to get ahead in preparing for the PSAT
- Don't have access to their PSAT instructor outside of class

## Why it works:

**Engaging Tutors:**We make learning about geometry and measurement simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live PSAT tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about geometry and measurement on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Explore the various types of angles.
- Practice finding the perimeter of triangles and rectangles.
- Learn to visualize geometry.
- Find out about the properties of shapes.
- Experience calculating the volumes of basic shapes.
- Explore the various parts of a graph.
- Learn to use the point-slope formula to find the equation of a line.
- Practice using the distance and midpoint formulas.
- Explain how to graph dilations and reflections of absolute value equations.

### 1. 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.

### 2. 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.

### 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. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

### 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.

### 12. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

### 13. 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.

### 14. 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?

### 15. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 16. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

### 17. Slopes and Tangents on a Graph

Hit the slopes and learn how the steepness of a line is calculated. Calculate the slopes between points and draw the tangents of curves on graphs in this lesson.

### 18. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

### 19. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

### 20. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

### 21. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

### 22. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

### 23. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

### 24. 0.2 miles in Feet: How-to & Steps

This lesson will talk about converting miles to feet. Using the example of converting 0.2 miles to feet, we will see the steps involved in solving this type of problem and how to check your answer.

### 25. How to Convert Feet per Second to mph

How do you convert a speed listed in feet per second into an equivalent speed in miles per hour? This lesson goes over the steps to do just that and also gives you tips for getting this type of conversion correct.

### 26. 1.62 Meters in Feet & Inches: How-to & Steps

How can you convert 1.62 meters into inches and feet? This lesson will give you step by step instructions to convert from metric distance measurement to standard distance measurement.

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### Other Chapters

Other chapters within the PSAT Prep: Tutoring Solution course

- PSAT Prep - About the Test: Tutoring Solution
- PSAT Writing - About the Writing Section: Tutoring Solution
- PSAT Writing - Grammar and Usage: Tutoring Solution
- PSAT Reading - About the Reading Section: Tutoring Solution
- PSAT Reading - Sentence Completions: Tutoring Solution
- PSAT Reading - Reading Passages: Tutoring Solution
- PSAT Reading - Understanding Reading Passages: Tutoring Solution
- PSAT Reading - Literary Terms: Tutoring Solution
- PSAT Math - About the Math Section: Tutoring Solution
- PSAT Math - Numbers and Operations: Tutoring Solution
- PSAT Math - Equations and Expressions: Tutoring Solution
- PSAT Math - Exponents: Tutoring Solution
- PSAT Math - Rational Equations and Expressions: Tutoring Solution
- PSAT Math - Inequalities: Tutoring Solution
- PSAT Math - Functions: Tutoring Solution
- PSAT Math - Data Analysis, Statistics and Probability: Tutoring Solution