Side-Splitter Theorem

Side-Splitter Theorem

Assessment

Flashcard

Mathematics

Practice Problem

Hard

CCSS
HSG.SRT.B.4, 8.G.A.2, HSG.CO.C.9

+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 triangle has sides of lengths 6 and 8, 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 6:8 or 3:4.

Tags

CCSS.HSG.SRT.B.4

3.

FLASHCARD QUESTION

Front

How do you find the missing length using the Side-Splitter Theorem?

Back

To find the missing length, set up a proportion based on the lengths of the segments created by the parallel line.

4.

FLASHCARD QUESTION

Front

If a triangle has a base of 10 and a parallel line divides the other two sides into segments of 4 and x, what is x?

Back

x = (10 * 4) / 6 = 6.67.

Tags

CCSS.HSG.SRT.B.4

5.

FLASHCARD QUESTION

Front

What is the relationship between the segments created by a parallel line in a triangle?

Back

The segments are proportional to the lengths of the sides of the triangle.

Tags

CCSS.HSG.SRT.B.4

6.

FLASHCARD QUESTION

Front

If a triangle has sides of lengths 12 and 16, and a line parallel to the base divides the other two sides into segments of 3 and x, what is x?

Back

x = (16 * 3) / 12 = 4.

Tags

CCSS.HSG.SRT.B.4

7.

FLASHCARD QUESTION

Front

What is the formula for the Side-Splitter Theorem?

Back

If a line parallel to one side of a triangle intersects the other two sides, then a/b = c/d, where a and b are segments on one side and c and d are segments on the other.

Tags

CCSS.HSG.SRT.B.4

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