About This Chapter
Who's it for?
Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:
- Students who have fallen behind in understanding how to identify similar triangles or prove the congruency of right and isosceles triangles
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about triangles, the Pythagorean theorem and congruency
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Triangles, the Pythagorean Theorem & Congruency chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Triangles, the Pythagorean Theorem & Congruency chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any triangle geometry question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a triangle geometry unit of a standard high school math course. Topics covered include:
- Applications of the Pythagorean theorem
- Applications of similar triangles
- Triangle classifications
- Triangle congruence postulates
- Congruency of isosceles triangles
- Congruency of right triangles
1. 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.
2. 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.
3. 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.
4. Classifying Triangles by Angles and Sides
Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.
5. 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.
6. Triangle Congruence Postulates: SAS, ASA & SSS
When we have two triangles, how can we tell if they're congruent? They may look the same, but you can be certain by using one of several triangle congruence postulates, such as SSS, SAS or ASA.
7. Congruency of Isosceles Triangles: Proving the Theorem
Isosceles triangles have two equal sides. Are the base angles also equal? In this lesson, we'll prove how this is true. We'll also prove the theorem's converse.
8. 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.
9. Pascal's Triangle: Patterns & History
In this lesson, you will learn about some of the many patterns found within Pascal's triangle, a set of numbers that has been loved by mathematicians for centuries.
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Other chapters within the CAHSEE Math Exam: Help and Review course
- CAHSEE - Number Theory & Basic Arithmetic: Help and Review
- CAHSEE - Problems with Decimals and Fractions: Help and Review
- CAHSEE - Problems with Percents: Help and Review
- CAHSEE Radical Expressions & Equations: Help & Review
- CAHSEE Algebraic Expressions & Equations: Help & Review
- CAHSEE - Algebraic Linear Equations & Inequalities: Help and Review
- CAHSEE - Problems with Exponents: Help and Review
- CAHSEE - Overview of Functions: Help and Review
- CAHSEE - Rational Expressions: Help and Review
- CAHSEE Ratios, Percent & Proportions: Help & Review
- CAHSEE - Matrices and Absolute Value: Help and Review
- CAHSEE - Quadratics & Polynomials: Help and Review
- CAHSEE - Geometry: Graphing Basics: Help and Review
- CAHSEE - Graphing on the Coordinate Plane: Help and Review
- CAHSEE - Measurement in Math: Help and Review
- CAHSEE - Properties of Shapes: Help and Review
- CAHSEE - Perimeter, Area & Volume in Geometry: Help and Review
- CAHSEE - Statistics, Probability & Working with Data: Help and Review
- CAHSEE - Mathematical Reasoning: Help and Review
- CAHSEE - Logic: Help and Review