Similar Figures Using Proportions

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are similar figures?
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 triangles to be similar?
Back
Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.
3.
FLASHCARD QUESTION
Front
How do you determine if two figures are similar?
Back
To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of the lengths of their corresponding sides are equal.
4.
FLASHCARD QUESTION
Front
What is the proportionality constant in similar figures?
Back
The proportionality constant is the ratio of the lengths of corresponding sides of two similar figures.
5.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of similarity?
Back
The ratio of similarity is 6:9 or 2:3.
6.
FLASHCARD QUESTION
Front
If two similar triangles have a ratio of 2:5, and the length of one side of the smaller triangle is 8, what is the length of the corresponding side in the larger triangle?
Back
The length of the corresponding side in the larger triangle is 20.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the missing side in similar triangles?
Back
If triangle ABC is similar to triangle DEF, then (AB/DE) = (BC/EF) = (AC/DF). Use this proportion to find the missing side.
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