Similar Polygons and Triangles

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are similar polygons?
Back
Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.
2.
FLASHCARD QUESTION
Front
What is the criteria for triangles to be similar?
Back
Triangles are similar if they satisfy one of the following conditions: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side).
3.
FLASHCARD QUESTION
Front
If two triangles are similar, how do you find the length of a side in one triangle if you know the corresponding side in the other triangle?
Back
Use the proportion of the lengths of corresponding sides. If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.
4.
FLASHCARD QUESTION
Front
What is the significance of the AA criterion for triangle similarity?
Back
If two angles of one triangle are equal to two angles of another triangle, the triangles are similar, regardless of the lengths of their sides.
5.
FLASHCARD QUESTION
Front
How do you solve for a missing side in similar triangles?
Back
Set up a proportion using the lengths of the corresponding sides and solve for the unknown.
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
If triangle ABC is similar to triangle DEF and AB = 4, DE = 8, what is the ratio of their areas?
Back
The ratio of their areas is (AB/DE)² = (4/8)² = 1/4.
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