Similarity

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean for two figures to be similar?
Back
Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are proportional.
2.
FLASHCARD QUESTION
Front
What is a scale factor in similarity?
Back
A scale factor is a number that scales, or multiplies, some quantity. In similarity, it is the ratio of the lengths of corresponding sides of two similar figures.
3.
FLASHCARD QUESTION
Front
If two triangles have side lengths of 3, 4, and 5 and 6, 8, and 10, are they similar?
Back
Yes, they are similar because the side lengths are proportional (3:6 = 1:2, 4:8 = 1:2, 5:10 = 1:2).
4.
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 their corresponding sides are proportional.
5.
FLASHCARD QUESTION
Front
What is the relationship between corresponding angles in similar figures?
Back
In similar figures, corresponding angles are always equal.
6.
FLASHCARD QUESTION
Front
If the scale factor of two similar triangles is 2, what does this mean for their areas?
Back
If the scale factor is 2, the area of the larger triangle is 2^2 = 4 times the area of the smaller triangle.
7.
FLASHCARD QUESTION
Front
What is the scale factor if the lengths of corresponding sides are 5 and 10?
Back
The scale factor is 10/5 = 2.
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