7-4: Proportions in Triangles

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Presentation transcript:

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

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

Example 1: What is KP?

Corollary to the side-splitter theorem

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

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.  

Example 3: Solve for y.

7-4 Classwork Workbook pg 305 ALL

Honors: 7-4 Assignments Secondary Assignment: Primary Assignment: Due Wednesday Website: join.quizizz.com Codes: Period 2: 777658 Period 4: 419160 Period 6: 594222 Secondary Assignment: Workbook pg 306 ALL except #6

Standard: 7-4 Assignments Primary Assignment: Due Website: join.quizizz.com Codes: Period 1: Period 5: Period 7: Secondary Assignment: Workbook pg 306 ALL except #6