Topic 7 Flashcard #2: Proportions in Similar Triangles

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Side Splitter Theorem?
Back
The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.
2.
FLASHCARD QUESTION
Front
How do you set up proportions using the Side Splitter Theorem?
Back
When using the Side Splitter Theorem, corresponding sides across from each other are either both in the numerator or denominator of your proportion.
3.
FLASHCARD QUESTION
Front
What is the Triangle Midsegment Theorem?
Back
The Triangle Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
4.
FLASHCARD QUESTION
Front
How do you find the length of a midsegment in a triangle?
Back
To find the length of a midsegment, take half the length of the parallel side it corresponds to.
5.
FLASHCARD QUESTION
Front
What is the relationship between similar triangles?
Back
In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.
6.
FLASHCARD QUESTION
Front
How do you set up proportions for similar triangles?
Back
When setting up proportions for similar triangles, compare corresponding sides: short to short, medium to medium, and long to long.
7.
FLASHCARD QUESTION
Front
If two triangles are similar, what can you say about their areas?
Back
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.
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