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L3.11 - Splitting Triangle Sides with Dilation, Part 2

Learning Intentions and Success Criteria

We are learning to:
  • Prove that a segment parallel to one side of a triangle divides the other sides proportionally (in writing).
We are successful when we can:
  • Explain why a segment parallel to one side of a triangle divides the other sides proportionally.

11.1: Notice and Wonder: Parallel Segments

11.1: Notice and Wonder: Parallel Segments

What do you notice? What do you wonder?

11.2: Prove It: Parallel Segments

Does a line parallel to one side of a triangle always create similar triangles?

1. Create several examples. Decide if the conjecture is true or false. If it’s false, make a more specific true conjecture.

2. Find any additional information you can be sure is true. Label it on the diagram.

3. Write an argument that would convince a skeptic that your conjecture is true.

11.3: Preponderance of Proportional Relationships

1. Find the length of each unlabelled side. Segments AB and EF are parallel.

2. Find the length of each unlabelled side. Segments BD and FG are parallel. Segment EG is 12 units long. Segment EB is 2.5 units long.

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Learning Intentions and Success Criteria

We are learning to:
  • Prove that a segment parallel to one side of a triangle divides the other sides proportionally (in writing).
We are successful when we can:
  • Explain why a segment parallel to one side of a triangle divides the other sides proportionally.
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1.

2.

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