What are similar figures?
Similar Figures and Proportional Relationships

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•
Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.
2.
FLASHCARD QUESTION
Front
What does it mean for two figures to be proportional?
Back
Two figures are proportional if the ratios of their corresponding sides are equal.
3.
FLASHCARD QUESTION
Front
How do you determine if two triangles are similar?
Back
Two triangles are similar if they have the same shape, which can be determined by checking if their corresponding angles are equal (AA criterion) or if the sides are in proportion (SSS or SAS criteria).
4.
FLASHCARD QUESTION
Front
What is the AA criterion for triangle similarity?
Back
The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
5.
FLASHCARD QUESTION
Front
What is the SSS criterion for triangle similarity?
Back
The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
6.
FLASHCARD QUESTION
Front
What is the SAS criterion for triangle similarity?
Back
The SAS criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.
7.
FLASHCARD QUESTION
Front
If two similar figures have a scale factor of 2, what does that mean?
Back
A scale factor of 2 means that each side of the larger figure is twice the length of the corresponding side of the smaller figure.
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