Proportions in Triangles

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Proportions in Triangles Watch for Parallel Lines, Transversals, and Angle Bisectors

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Proportions in Triangles. Watch for Parallel Lines, Transversals, and Angle Bisectors. Side Splitter Theorem (related to Midsegment Theorem). If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally. - PowerPoint PPT Presentation

Transcript of Proportions in Triangles

Page 1: Proportions in Triangles

Proportions in TrianglesWatch for Parallel Lines,

Transversals, andAngle Bisectors

Page 2: Proportions in Triangles

Side Splitter Theorem(related to Midsegment Theorem)

• If a line is parallel to ONE side of a triangle AND intersects the other two sides, then it divides those other TWO sides proportionally.

Page 3: Proportions in Triangles

Corollary to Side Splitter

Page 4: Proportions in Triangles

2nd Example

(In order for the lines to be parallel, then the side portions must be proportional. Right?

Page 5: Proportions in Triangles

Triangle-Angle-Bisector Theorem

• If a line bisects an angle of a triangle, then it divides the opposite side into 2 segments which are proportional to the OTHER TWO sides of the triangle.

A

Page 6: Proportions in Triangles

Examples

Page 7: Proportions in Triangles

HomeworkPractice (Key Attached) Extra Credit2 34 6 , 79 1013 1526 25 2831 3248 49 , 50 and below


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Applications Proportions Section 1.9. Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in.

Mrs. McConaughy Geometry1 LESSON 8.5 Proportions and Similar Triangles OBJECTIVES: To use proportionality theorems to calculate segment lengths To.

Mrs. McConaughy Geometry1 LESSON 8.5 Proportions and Similar Triangles OBJECTIVES: To use proportionality theorems to calculate segment lengths To.

8.6 Proportions and Similar Triangles

8.6 Proportions and Similar Triangles

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8.6 Proportions & Similar Triangles

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Proportions in Triangles Chapter 7 Section 5. Objectives Students will use the Side-Splitter Theorem and the Triangle-Angle- Bisector Theorem.

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