What is the Side Splitter Theorem?
Side Splitter Theorem
Flashcard
•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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
If AB = 4, BC = 7, ED = 5, and DC = 8.75, is BD parallel to AE?
Back
Yes, BD is parallel to AE according to the Side Splitter Theorem.
3.
FLASHCARD QUESTION
Front
What is the formula to find the missing length using the Side Splitter Theorem?
Back
If a line divides two sides of a triangle proportionally, then a/b = c/d, where a and b are segments of one side, and c and d are segments of the other side.
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6 and 9, and a line parallel to the base divides the other two sides into segments of lengths 4 and x, what is x?
Back
x = 6.75, using the proportion 6/9 = 4/x.
5.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel in the context of triangles?
Back
Two lines are parallel if they never intersect and are equidistant from each other, which affects the proportionality of the segments created by a transversal.
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 10 and 15, and a line parallel to the base divides the other two sides into segments of lengths 5 and y, what is y?
Back
y = 7.5, using the proportion 10/15 = 5/y.
7.
FLASHCARD QUESTION
Front
How can you determine if two segments are proportional?
Back
Two segments are proportional if the ratio of their lengths is equal to the ratio of the lengths of another pair of segments.
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