Corallary to Side Splitter Theorem
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+6
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
State the Corollary to the Side Splitter Theorem.
Back
The Corollary to the Side Splitter Theorem states that if two triangles are similar, then the lengths of corresponding sides are proportional.
Tags
CCSS.HSG.SRT.B.4
3.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8, 10, and x, and a parallel line divides the triangle into two smaller triangles, what is the value of x if the other side is 6?
Back
x = 6. (Using the proportionality of sides in similar triangles.)
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
How do you find the missing length in a triangle using the Side Splitter Theorem?
Back
Set up a proportion using the lengths of the sides that are divided by the parallel line and solve for the missing length.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 12 and 16, and a parallel line divides one side into lengths of 4 and x, what is the value of x?
Back
x = 5. (Using the proportion 4/12 = x/16.)
Tags
CCSS.HSG.SRT.B.4
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of similar triangles?
Back
The corresponding sides of similar triangles are in proportion.
Tags
CCSS.HSG.SRT.A.2
7.
FLASHCARD QUESTION
Front
If two triangles are similar and one has a side length of 10, what is the corresponding side length in the other triangle if the ratio of similarity is 2:3?
Back
The corresponding side length is 15. (10 * (3/2) = 15.)
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