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"When two triangles are congruent, all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent. If all three pairs of corresponding sides are congru ...

Square Root Operations

"Since Pythagorean theorem proofs requires us to square numbers and find square roots, reviewing square root operations from Algebra is really important. When working with the Pythagorean theorem, it ...

Solving Systems of Equations by Graphing

"A system of equations is two or more equations that contain the same variables. Solving systems of equations by graphing is one method to find the point that is a solution to both (or all) original e ...

Solving Rational Equations with Unlike Denominators

"When solving rational equations with unlike denominators, the first step is to factor the denominators and look for a common denominator. Next, we multiply both sides of the equation by the common d ...

Solving Radical Equations

Radical equations are equations that have square root terms. When solving radical equations, try to isolate the radical expression on one side of the equation and then square both sides (it is the inv ...

Solving Quadratic Equations by Factoring

"When we solve quadratic equations, we have several different methods that we can choose from. Solving quadratic equations by factoring is just one of those methods. When solving quadratic equations b ...

Solving Proportions

"Solving proportions is a crucial skill when studying similar polygons. The ratio of corresponding side lengths between similar polygons are equal and two equivalent ratios are a proportion. For solvi ...

Function Notation

"Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we u ...

Solving Literal Equations

"Sometimes we need to use methods for solving literal equations to rearrange formulas when we want to find a particular parameter or variable. Solving literal equations is often useful in real life si ...

Flowchart Proofs

"Flowchart proofs are organized with boxes and arrows; each "statement" is inside the box and each "reason" is underneath each box. Each statement in a proof allows another subsequent statement to be ...

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