Side-Splitter Theorem
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+3
Standards-aligned
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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 triangle has sides of lengths 10 and 15, 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 the same as the ratio of the sides, which is 10:15 or 2:3.
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
How do you set up a proportion using the Side-Splitter Theorem?
Back
To set up a proportion, use the lengths of the divided segments and the corresponding sides of the triangle.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
If a triangle has a side of length 10 and a corresponding segment of length x, what is the proportion if the other side is 30?
Back
The proportion is x/10 = 30/15.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
What is the first step in solving for x using the Side-Splitter Theorem?
Back
Identify the corresponding sides and set up the proportion.
Tags
CCSS.HSG.SRT.B.4
6.
FLASHCARD QUESTION
Front
If a triangle's sides are divided into segments of lengths 4 and x, and the corresponding sides are 8 and 12, what is x?
Back
x = 6, using the proportion 4/x = 8/12.
Tags
CCSS.HSG.CO.C.9
7.
FLASHCARD QUESTION
Front
What does it mean for triangles to be similar?
Back
Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
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