Similar polygons + dilations
Flashcard
•
Mathematics
•
11th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a dilation in geometry?
Back
A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.
2.
FLASHCARD QUESTION
Front
What does it mean for two polygons to be similar?
Back
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion.
3.
FLASHCARD QUESTION
Front
What is the scale factor in a dilation?
Back
The ratio of the lengths of corresponding sides of the original figure to the dilated figure.
4.
FLASHCARD QUESTION
Front
If a polygon is dilated by a scale factor of 2, what happens to its size?
Back
The polygon is enlarged to twice its original size.
5.
FLASHCARD QUESTION
Front
If a polygon is dilated by a scale factor of \( \frac{1}{2} \), what happens to its size?
Back
The polygon is reduced to half its original size.
6.
FLASHCARD QUESTION
Front
What is the relationship between the areas of similar polygons?
Back
The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.
7.
FLASHCARD QUESTION
Front
How do you determine if two triangles are similar?
Back
Two triangles are similar if they satisfy the Angle-Angle (AA) criterion, meaning two angles of one triangle are equal to two angles of another triangle.
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