Side Splitter Theorem

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Objective

I can apply the Side Splitter Theorem to find missing lengths in similar triangles.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

5 questions

1

Explain the Side Splitter Theorem in your own words and provide an example of how it can be applied in a triangle.

2

In a triangle, a line parallel to one side divides the other two sides into segments of lengths 4 cm and x cm, and 6 cm and 9 cm respectively. Use the Side Splitter Theorem to find the value of x.

Part 3 of 3

Exit ticket

Quick comprehension check

In a triangle, a line parallel to one side divides the other two sides into segments of lengths 5 cm and x cm, and 8 cm and 12 cm respectively. Use the Side Splitter Theorem to find the value of x. Show all work. A triangle has sides of lengths 9 cm and 15 cm, and a line parallel to the base divides the other two sides into segments of lengths 4 cm and y cm. What is the length of y using the Side Splitter Theorem? Show all work.

Sample answer included in the free materials

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