Side-Splitter Theorem
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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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 line segment divides two sides of a triangle proportionally, what can be concluded?
Back
The line segment is parallel to the third side of the triangle.
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
How do you set up a proportion using the Side-Splitter Theorem?
Back
If a line segment divides sides a and b of a triangle, and the segment is parallel to side c, then the proportion can be set up as a/b = d/e, where d and e are the segments created on the sides.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
What is the formula to find the missing length using the Side-Splitter Theorem?
Back
If a/b = c/d, then ad = bc, allowing you to solve for the missing length.
Tags
CCSS.HSG.SRT.B.4
5.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 15 and 7, and a line segment divides them into lengths of x and 14, what proportion should you use?
Back
x / 15 = 7 / 14.
Tags
CCSS.HSG.CO.C.9
6.
FLASHCARD QUESTION
Front
What is the value of x if 15 / x = 7 / 14?
Back
x = 15 * (14 / 7) = 30.
Tags
CCSS.5.MD.A.1
7.
FLASHCARD QUESTION
Front
If a triangle has a side of length 10 and is divided by a parallel line into segments of lengths 4 and x, what is the value of x?
Back
Using the proportion 4 / 10 = x / 15, we find x = 6.
Tags
CCSS.HSG.SRT.B.4
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