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Hypotenuse Leg

"In right triangles, if two legs are congruent and if the two hypotenuses are congruent, then the triangles are congruent. This is known as the hypotenuse leg theorem. Note that this is the SSA shortc ...

The Discriminant

"The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we ha ...

How to Graph a Line

"When given an equation in the form y = mx + b, or slope-intercept form, we should know how to graph a line without having to compute two points on it. If we have an equation in slope-intercept form, ...

Tangent Ratios

"Right triangles have ratios that are used to represent their base angles. Tangent ratios, along with cosine and sine ratios, are ratios of two different sides of a right triangle. Tangent ratios are ...

Systems of Inequalities

"When solving systems of inequalities, you are solving for a solution region. A solution region is the collection of points that are solutions to both inequalities. Solving systems of inequalities com ...

Systems of Equations

"A system of equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving systems ...

Greatest Common Factors

"When working with polynomials and complex fractions, it's important to understand and be able to find greatest common factors. Being able to find greatest common factors will help when factoring trin ...

Surface Area of Prisms

"Surface area is a two-dimensional property of a three-dimensional figure. Prisms have two congruent, parallel bases separated by lateral faces. Lateral faces are congruent rectangles with a height e ...

Surface Area of Joined Solids

"Surface area is a two-dimensional property of a three-dimensional figure. When solids are joined together, such as a hemisphere on a cone, the surface area of the connecting circle is not included in ...

Surface Area of Cylinders

"Surface area is a two-dimensional property of a three-dimensional figure. Cylinders are similar to prisms in that they have congruent, parallel bases, except cylinders have circles as their bases. ...

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