Side Splitter Theorem Practice ((7))

Side Splitter Theorem Practice ((7))

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

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.

2.

FLASHCARD QUESTION

Front

If DE is parallel to AB in triangle ABC, and CD = 4, CA = 10, CE = x + 2, and EB = 4x - 7, how do you find the length of CE?

Back

Set up the proportion: CD/CA = CE/EB. Substitute the values and solve for x.

3.

FLASHCARD QUESTION

Front

In triangle ABC, if DE is parallel to BC, and AD = 3, DB = 2, what is the relationship between DE and BC?

Back

The lengths of DE and BC are proportional to the segments AD and DB.

4.

FLASHCARD QUESTION

Front

Solve for x: 4x - 7 = 3

Back

x = 2.5

5.

FLASHCARD QUESTION

Front

If DE = 4 and AB = 10 in triangle ABC, what is the ratio of DE to AB?

Back

The ratio is 4:10 or 2:5.

6.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel in the context of triangles?

Back

Parallel lines in triangles create similar triangles, allowing for proportional relationships between corresponding sides.

7.

FLASHCARD QUESTION

Front

If AD = 3 and DB = 2, what is the total length of AB?

Back

AB = AD + DB = 3 + 2 = 5.

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