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SSS and SAS

"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 ...

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 ...

Similar Triangles in Circles and Right Triangles

"Two triangles in a circle are similar if two pairs of angles have the same intercepted arc. Sharing an intercepted arc means the inscribed angles are congruent. Since these angles are congruent, the ...

Remote Interior Angles

"If one side of a triangle is extended beyond the vertex, an exterior angle is formed. This exterior angle is supplementary with its adjacent, linear angle. Since the angle sum in a triangle is also 1 ...

CPCTC

"CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are ...

Corresponding Parts of Triangles

"If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of the angle bisectors, altitudes, and medians of the two triangles. To find a missing angle bisector, altitu ...

Prism Volume

Hipervinculo Matemáticas

Prism Volume

"We can calculate the volume of any prism simply by knowing the height of the prism and the area of one of its bases. When calculating prism volume, this volume formula can be applied to both right an ...

Polygon Apothem

"An apothem is a perpendicular segment from the center of a regular polygon to one of the sides. When radii are drawn from the center to the vertices of the polygon, congruent isosceles triangles are ...

ASA and AAS

"If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. If two pairs of corresponding angles and the side between them are known ...

Area Ratios

Hipervinculo Matemáticas

Area Ratios

"If two triangles are similar, then their corresponding sides are proportional. Since sides are a length and lengths are one dimensional, the side ratio will not predict the ratio of the areas. To fin ...

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