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Definition
| an equation stating that two ratios are equal |
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Definition
| A proportion in which 3 or more ratios are equal |
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Definition
| the quotient when the first number is divided by the second |
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Definition
| the product of the extremes is equal to the product of teh means |
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Definition
| the first and last terms of a proportion |
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Definition
| the middle terms of a proportion |
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Definition
| two figure that have the same shape, but not necessarily the same size |
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Term
| Two polygons are similar if their vertices can be paired so that: |
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Definition
1) Corresponding angles are congruent
2) Corresponding sides are in proportion (their lengths have the same ratio) |
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Term
Scale Factor
aka
Similarity Ratio |
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Definition
| The ratio of the lengths of two corresponding sides |
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Term
Angle-Angle (AA) Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then...
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Definition
AA Similarity Postulate
...then the triangles are similar |
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Term
Theorem
Side-Angle-Side Similarity (SAS~)
if an angle of one triangle is congruent to an angle of a second triangle, and... |
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Definition
Theorem
Side-Angle-Side Similarity
...and the sides including the two angles are proportional, then the triangles are similar. |
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Term
Theorem
Side-Side-Side Similarity (SSS~)
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Definition
Theorem
If the corresponding sides of two triangles are proportional, then the triangles are similar |
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Term
Triangle Proportionality Theorem
If a line is parallel to one side of a triangle and intersects the other two sides, then... |
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Definition
Theorem
...then it divides those sides proportionally. |
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Term
Corollary For Triangle Proportionality Theorem
If three or more parallel lines intersect two transversals, then... |
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Definition
Corollary For Triangle Proportionality Theorem
...then the segments intercepted on the transversals are proportional. |
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Term
Triangle Angle Bisector Theorem
If a ray bisects an angle of a triangle, then... |
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Definition
Triangle Angle Bisector Theorem
...then it divides the opposite side into two segments that are proportional to the other two sides of the triangle. |
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