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GEOMETRY-SIMILARITIES-PRACTICE EXERCISES

THE STUDY BUDDY, INC.
SAINT PETERSBURG, FLORIDA

AB
If two polygons are similar, then what ?ANSWER: The ratio of their perimeters is equal to the ratios of their corresponding side lenghts.
What si the Side-Side-Side (SSS) Similarity Theorem ?ANSWER: If the lenghts of the corresponding sides of two triangles are proportional, then the triangles are similar.
What is the Side-Angle-Side (SAS) Similarity Theorem ?ANSWER: If an angle of one triangle is congruent to an angle of a second triangle and the lenghts of the sides that include these angles are proportional, then the triangles are similar.
What is the Triangle Proportionality Theorem ?ANSWER: If a line parallel to one side of a triangle intersects the other tow sides, then it divides the two sides proportionally.
What is the Converse of the Triangle Proportionality Theorem ?ANSWER: If a line divides two sides of a triangle proportionally, then it is parallel to the thrid side.
If three parallel lines intersect two transversals, then what ?ANSWER: Then they divide the transversals proportionally.
If a ray bisects an angle of a triangle, then what ?ANSWER: Then it divides the opposite side into segments whose lenghts are proportional to the lenghts of the other two sides.
What is the Cross Product Property ?ANSWER: If a/b = c/d, then ad = bc
What is the Reciprocal Property ?ANSWER: If a/d = c/d, then b/a = d/c
What are the two Additional Properties of Proportions ?ANSWER: If a/b = b/d, then a/c = b/d and if a/b = c/d, then a + b / 2 = c + d / 2


The Learning and Tutoring Center, Inc.
Saint Petersburg, FL

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