Podcast
Questions and Answers
If two polygons are similar, then their corresponding angles are __________________ and in _______________.
If two polygons are similar, then their corresponding angles are __________________ and in _______________.
Congruent, proportion
Scale factor is the _________ of any two corresponding sides between similar polygons.
Scale factor is the _________ of any two corresponding sides between similar polygons.
ratio
If two polygons are similar, then their _________ are proportional to the scale factor between them.
If two polygons are similar, then their _________ are proportional to the scale factor between them.
perimeters
What does the equation ad=bc represent?
What does the equation ad=bc represent?
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What does the equation ba=dc represent?
What does the equation ba=dc represent?
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What does the equation ac=bd represent?
What does the equation ac=bd represent?
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What does the equation a+b/b = c+d/d represent?
What does the equation a+b/b = c+d/d represent?
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If two ______ of one triangle are congruent to two angles of a second triangle, then the two triangles are similar.
If two ______ of one triangle are congruent to two angles of a second triangle, then the two triangles are similar.
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SSS Similarity Theorem - If the corresponding side lengths of two triangles are ___________, then the triangles are similar.
SSS Similarity Theorem - If the corresponding side lengths of two triangles are ___________, then the triangles are similar.
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SAS Similarity Theorem - If one angle of a triangle is ____________ to one angle of 2nd triangle, and the sides including those angles are in proportion, then the triangles are similar.
SAS Similarity Theorem - If one angle of a triangle is ____________ to one angle of 2nd triangle, and the sides including those angles are in proportion, then the triangles are similar.
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Triangle Proportionality Theorem - If a line is _________ to one side of a triangle and intersects the other two sides of the triangle, then it divides those sides _______________.
Triangle Proportionality Theorem - If a line is _________ to one side of a triangle and intersects the other two sides of the triangle, then it divides those sides _______________.
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A line that contains the ____________ of one side of a triangle and is ____________ to another side, passes through the ___________ of the 3rd side.
A line that contains the ____________ of one side of a triangle and is ____________ to another side, passes through the ___________ of the 3rd side.
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Triangle Midsegment Theorem - The segment that joins the ________________ of two sides of a triangle is:
Triangle Midsegment Theorem - The segment that joins the ________________ of two sides of a triangle is:
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Proportional Parts of Parallel Lines - If _________ or more parallel lines intersect two ______________, then they divide the transversals proportionally.
Proportional Parts of Parallel Lines - If _________ or more parallel lines intersect two ______________, then they divide the transversals proportionally.
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Congruent Parts of Parallel Lines - If three or more parallel lines cut off congruent segments on ______ transversal, then they cut off congruent segments on __________ every transversal.
Congruent Parts of Parallel Lines - If three or more parallel lines cut off congruent segments on ______ transversal, then they cut off congruent segments on __________ every transversal.
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Triangle Angle Bisector Theorem - The bisector of an angle cuts its _________________ side into two parts that are proportional to the other two sides.
Triangle Angle Bisector Theorem - The bisector of an angle cuts its _________________ side into two parts that are proportional to the other two sides.
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Study Notes
Similar Polygons
- Two similar polygons have congruent corresponding angles.
- The corresponding sides of similar polygons are in proportion, defined by the scale factor.
Scale Factor and Proportionality
- The scale factor is the ratio of any two corresponding side lengths between similar polygons.
- The perimeters of similar polygons are also proportional to the scale factor.
Triangle Similarity Theorems
- SSS Similarity Theorem: If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
- SAS Similarity Theorem: If one angle of a triangle is congruent to one angle of a second triangle, and the sides including those angles are in proportion, then the triangles are similar.
Instruction on Triangle Proportionality
- Triangle Proportionality Theorem: A line parallel to one side of a triangle that intersects the other two sides divides them proportionally.
- A line containing the midpoint of one side and parallel to another side will pass through the midpoint of the third side.
Triangle Midsegment Theorem
- A segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
Properties of Parallel Lines
- If three or more parallel lines intersect two transversals, they divide the transversals proportionally.
- If parallel lines cut off congruent segments on one transversal, they will cut off congruent segments on every transversal.
Triangle Angle Bisector Theorem
- The angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides.
Studying That Suits You
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Description
Challenge yourself with these flashcards covering key concepts from Chapter 7 of Geometry B. Learn about similar polygons, scale factors, congruency, and proportional relationships with engaging questions. Perfect for reinforcing your understanding before the test!
