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the following is a selected video from
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your teacher calm where you can browse
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over 450 complete math lessons with
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example videos interactive practice
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problems self tests and more try a
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complete lesson today at your teacher
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calm
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similar polygons are polygons that have
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the same shape for example in the
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diagram shown pentagon ABCDE is similar
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to pentagon rst UV notice that the
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symbol we use for similarity is a
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squiggly line
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it's important to understand the
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following properties of similar polygons
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first if two polygons are similar then
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corresponding angles are congruent so in
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the diagram shown angle a is congruent
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to angle R and angle B is congruent to
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angle s and angle C is congruent to
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angle t and so on notice that the
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corresponding parts will always be
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matched up in our similarity statement
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in other words we know that angle a
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corresponds with angle R because a and R
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are mentioned first in our similarity
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statement and we know that angle B
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corresponds with angle s because B and s
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are mentioned second in our similarity
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statement and so on
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next if two polygons are similar then
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the length of the corresponding sides
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are in proportion so in the diagram
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shown a B is to RS as BC is to st as CD
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is to TU and so on finally given two
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similar polygons the scale factor is the
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ratio of the lengths of two
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corresponding sides for example in the
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diagram shown the ratio of AE to RV is
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18 to 12 which reduces to 3 to 2 so the
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scale factor for these two similar
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polygons is three to two which means
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that all pairs of corresponding sides
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will be in the ratio three to two
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