6.3 Use similar polygons
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Mathematics
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9th - 10th Grade
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Practice Problem
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Medium
+3
Standards-aligned
Paige LaGrange
Used 17+ times
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14 Slides • 9 Questions
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6.3 Use similar polygons
Geometry
Mrs. LaGrange
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Similar Polygons
For similar polygons:
Corresponding interior angles are congruent, and corresponding sides are proportional.
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Multiple Choice
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Multiple Choice
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Scale Factor
If two polygons are similar, then the ratio of the
lengths of two corresponding sides is called the
scale factor.
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Scale Factor
If the scale factor is less than 1 (a fraction or decimal less than 1) the result is a reduction.
If the scale factor is greater than 1 the result is an enlargement.
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Multiple Choice
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Multiple Choice
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Multiple Choice
The two polygons are similar. What is the scale factor of the big quadrilateral to the small quadrilateral?
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Multiple Choice
The two polygons are similar. What is the scale factor of the small quadrilateral to the big quadrilateral?
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The two triangles are similar. Can you solve for x?
Use proportions of corresponding sides to solve for x.
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Perimeters
The ratio of lengths in similar polygons is the same as the scale factor. Therefore, the ratio of their perimeters is the same as the scale factor.
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Multiple Choice
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Scale Factor:
Value of x:
Perimeter of ABCDE:
Perimeter of FGHJK =3/2 Perimeter of ABCDE.
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Similarity and Congruence
Any two congruent figures are also similar. They have a scale factor of 1:1.
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Fill in the Blanks
Type answer...
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Multiple Choice
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Great job!
Take-away for similar polygons:
- Corresponding Angles are congruent.
- Corresponding sides are proportional.
- Scale factor is IMPORTANT!
- Side Lengths, Perimeters, Medians, and Altitudes, of similar polygons are proportional based on the scale factor.
6.3 Use similar polygons
Geometry
Mrs. LaGrange
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