A right triangle is a type of triangle that has one angle measuring 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. The relationship between the sides of a right triangle is given by the Pythagorean theorem:

a² + b² = c²

where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse.

Properties of Right Triangle:

A right triangle has one right angle (90 degrees).
The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
The Pythagorean theorem is used to solve for the unknown side lengths of a right triangle.

Special Right Triangles:

There are two special types of right triangles: the 45-45-90 triangle and the 30-60-90 triangle. These triangles have unique properties and side length ratios that can be used to solve for the side lengths without using the Pythagorean theorem.

Study Guide:

Understand the definition of a right triangle and its properties.
Learn how to apply the Pythagorean theorem to solve for the unknown side lengths.
Memorize the side length ratios for the special right triangles (45-45-90 and 30-60-90).
Practice solving problems involving right triangles, including finding missing side lengths and angles.

With a solid understanding of right triangles and their properties, you will be well-equipped to solve a variety of geometric problems involving right triangles.

◂Math Worksheets and Study Guides Seventh Grade. Introduction to Algebra

Study Guide

Introduction to Algebra

Activity Lesson

Algebraic Expression Cards

Worksheet/Answer key

Introduction to Algebra

Worksheet/Answer key

Introduction to Algebra

Worksheet/Answer key

Introduction to Algebra

Worksheet/Answer key

Algebra Riddles

The resources above cover the following skills:

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Develop an initial conceptual understanding of different uses of variables.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.