Triangles part Two. Congruence and Similarity | iCalculator™ (2024)

There are lessons in this math tutorial covering . The tutorial starts with an introduction to and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of . you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What is the relationship between the sides and angles in a triangle?
• What is the range of possible values for the side lengths in a triangle?
• What are the conditions for two triangles to be congruent?
• What are the conditions for two triangles to be similar?
• What is the midline of a triangle?
• What relationship does the Pythagorean Theorem point out?
• What are the Euclidean Theorems? What can you find by using them?
• What is Heron's Formula and why do we use it?
• What is the relationship between elements in an isosceles triangle?
• What special feature does a right triangle with angles 30° - 60° - 90° have?

Introduction

Triangles are very extensive in theory and application. Therefore, one tutorial is insufficient to explain all properties of triangles. This tutorial focuses on concepts such as congruence and similarity - concepts that deal with the comparison between triangles. It is a continuation of the previous chapters in a more extended approach.

Congruence and similarity are two important concepts in geometry that describe the relationship between two triangles. Congruence refers to the exact match between two triangles where all the sides and angles are of equal measure. In other words, if two triangles are congruent, they have the same size and shape. On the other hand, similarity refers to the proportionate match between two triangles where the angles are equal but the sides may be of different lengths. In other words, if two triangles are similar, they have the same shape but not necessarily the same size. Both congruence and similarity play an important role in geometry and help us to better understand and analyze geometric figures. Therefore, let's begin to explore this important topic of geometry.

Please select a specific "Triangles part Two. Congruence and Similarity" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Whats next?

Enjoy the "Triangles part Two. Congruence and Similarity" math tutorial? People who liked the "Triangles part Two. Congruence and Similarity" tutorial found the following resources useful:

1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
2. Angles and Geometrical Figures Revision Notes: Triangles part Two. Congruence and Similarity. Print the notes so you can revise the key points covered in the math tutorial for Triangles part Two. Congruence and Similarity
3. Angles and Geometrical Figures Practice Questions: Triangles part Two. Congruence and Similarity. Test and improve your knowledge of Triangles part Two. Congruence and Similarity with example questins and answers
4. Check your calculations for Angles and Geometrical Figures questions with our excellent Angles and Geometrical Figures calculators which contain full equations and calculations clearly displayed line by line. See the Angles and Geometrical Figures Calculators by iCalculator™ below.
5. Continuing learning angles and geometrical figures - read our next math tutorial: Quadrilaterals

Help others Learning Math just like you

We hope you found this Math math tutorial "Triangles part Two. Congruence and Similarity" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

Angles and Geometrical Figures Calculators by iCalculator™

Math Calculators

You may also find the following Math calculators useful.

• Which Fraction Is Bigger
• Arc Length Calculator
• Number Of Subsets In A Set Calculator
• Area Of A Hexagon Calculator
• Parallelogram Area Calculator
• Rounding Numbers Calculator
• Addition And Subtraction Calculator
• Probability Calculator
• Rhombus Calculator
• Volume Cube
• Cosine Of An Angle Calculator
• 3 Ratio Calculator
• Hindu Arabic To Roman Numbers Converter
• Mass Density Volume Calculator
• Scientific Calculator
• 2x2 Matrix Inverse Calculator
• Ratio Maker
• Decimal Degrees To Degrees Minutes Seconds
• Difference Between Dates Calculator
• Angle Conversion