Side-Splitter Theorem

Side-Splitter Theorem

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.SRT.B.4, HSG.CO.C.9, HSG.CO.C.10

+1

Standards-aligned

Created by

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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