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7-4: Proportions in Triangles Rigor: apply the side-splitter theorem and the triangle-angle-bisector theorem. Relevance: ground planning.

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Presentation on theme: "7-4: Proportions in Triangles Rigor: apply the side-splitter theorem and the triangle-angle-bisector theorem. Relevance: ground planning."— Presentation transcript:

1 7-4: Proportions in Triangles Rigor: apply the side-splitter theorem and the triangle-angle-bisector theorem. Relevance: ground planning

2 Notes: The Side-Splitter Theorem Highlight this theorem in your core book on page 303. The book calls it the Triangle Proportionality Theorem, but it is better known as the side-splitter theorem. We will solve it on pg 303.

3 Example 1: What is KP?

4 Corollary to the side-splitter theorem

5 Example 2: Campsites What is the length of Site A along the river?

6 Triangle-Angle-Bisector Theorem If a ray bisects an angle of a triangle, then it divides the opposite side into 2 segments that are proportional to the other 2 sides.

7 Example 3: Solve for y.

8 7-4 Classwork Core book pg 305 ALL We will go over these in 15 minutes. 7-4 Homework Core book pg 306 ALL Due WEDNESDAY Chapter 7 Test is Thursday/Friday


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