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Final - Ms. Walker
Chapters 7-14
| Question | Answer |
|---|---|
| a/b=c/d : | ad=cb |
| ad=bc | a/c=b/d |
| Two Polygons are similar if their vertices can be paired so that: | (1) Corresponding angles are congruent. (2) Corresponding sides are in proportions. (Their lengths have the same ratio.) |
| AA Similarity Postulate | If two angles of one triangle are congruent to two angles of another triangle then the triangles are similar |
| SAS Similarity | If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar |
| SSS Similarity | If the sides of two triangles are in proportion, then the triangles are similar |
| Triangle Proportionally Theorem | If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. |
| If three parallel lines intersect two transversals, then: | they divide the transversals proportionally |
| Triangle Angle-Bisector Theorem | If a ray bisects an angle of a triangle, the it divides the opposite side into segments proportional to the other side. |
| Geometric Mean | x=(square root)(a)(b) |
| If the altitude is drawn to the hypotenuse of a right triangle, then: | the two triangles formed are similar to the original triangle and to each other. |
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