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Triangle Similarity

"There are four triangle congruence shortcuts: SSS, SAS, ASA, and AAS. We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the includ ...

Triangle Side and Angle Inequalities

"In any triangle, the largest angle is opposite the largest side (the opposite side of an angle is the side that does not form the angle). The shortest angle is opposite the shortest side. Therefore, ...

Triangle Mid segment

"A triangle mid segment is a line segment whose endpoints are the midpoints of a triangle. The triangle mid segment is parallel to the third side (the side that does not contain an endpoint). Also, ...

Triangle Inequality

"The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. To find a range of values for the third side when given two lengt ...

Triangle Angle Sum

"The sum of the three angles in any triangle sum to 180 degrees. The importance of this fact in Geometry cannot be emphasized enough. The triangle angle sum theorem is used in almost every missing a ...

Triangle Altitude

"Altitudes are defined as perpendicular line segments from the vertex to the line containing the opposite side. In each triangle, there are three triangle altitudes, one from each vertex. In an acute ...

Trapezoid Properties

"Trapezoids are one of the most common quadrilaterals. A trapezoid has one pair of parallel sides. When a trapezoid has two sets of parallel sides, it is a more specific type of trapezoid called a par ...

Interpreting Graphs

"It's important to learn about interpreting graphs so that we can understand graphing which is a fundamental part of Algebra and later math courses. Interpreting graphs involves understanding what the ...

Trapezoid Midsegment

"A midsegment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid. A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid ...

Trapezoid Design

"When identifying missing angle measurements in trapezoid design and trapezoidal arc problems, knowledge of trapezoid and angle properties is necessary. In a trapezoid design problem, one part of a sh ...

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