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Similar Triangles

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Triangles that have the same shape but may differ in size. They have equal corresponding angles and proportional sides.

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Dilations

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A transformation that produces an image that is the same shape as the original, but is a different size. It involves a scale factor and a center of dilation.

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Side Splitter Theorem

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A theorem stating that if a line parallel to one side of a triangle intersects the other two sides, it divides those sides proportionally.

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Centroid

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The point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

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Median

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A line segment joining a vertex of a triangle to the midpoint of the opposite side. It divides the triangle into two equal areas.