Side-Splitter Theorem
Flashcard
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Mathematics
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Practice Problem
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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.
Tags
CCSS.HSG.SRT.B.4
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6 and 8, and a line parallel to the base divides the other two sides, what is the ratio of the segments?
Back
The ratio of the segments is 6:8 or 3:4.
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
How do you find the missing length using the Side-Splitter Theorem?
Back
To find the missing length, set up a proportion based on the lengths of the segments created by the parallel line.
4.
FLASHCARD QUESTION
Front
If a triangle has a base of 10 and a parallel line divides the other two sides into segments of 4 and x, what is x?
Back
x = (10 * 4) / 6 = 6.67.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
What is the relationship between the segments created by a parallel line in a triangle?
Back
The segments are proportional to the lengths of the sides of the triangle.
Tags
CCSS.HSG.SRT.B.4
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 12 and 16, and a line parallel to the base divides the other two sides into segments of 3 and x, what is x?
Back
x = (16 * 3) / 12 = 4.
Tags
CCSS.HSG.SRT.B.4
7.
FLASHCARD QUESTION
Front
What is the formula for the Side-Splitter Theorem?
Back
If a line parallel to one side of a triangle intersects the other two sides, then a/b = c/d, where a and b are segments on one side and c and d are segments on the other.
Tags
CCSS.HSG.SRT.B.4
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