Section 8-5 Proportions in Triangles
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Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem PowerPoint PPT Presentation


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Section 8-5 Proportions in Triangles SPI 22B: apply ratio and proportion to solve real-world problems involving polygons. Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem. Similar triangles can be used

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Objectives: Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem

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Objectives use side splitter theorem and the triangle angle bisector theorem

Section 8-5 Proportions in Triangles SPI 22B: apply ratio and proportion to solve real-world problems involving polygons

  • Objectives:

    • Use Side-splitter Theorem and the Triangle-Angle-Bisector Theorem

Similar triangles can be used

to solve a variety of problems.


Objectives use side splitter theorem and the triangle angle bisector theorem

Side-Splitter Theorem

Theorem 8-4 Side-Splitter Theorem

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.


Objectives use side splitter theorem and the triangle angle bisector theorem

Apply the Side-Splitter Theorem

Find the length of VX by using the side splitter theorem.


Objectives use side splitter theorem and the triangle angle bisector theorem

Corollary to Side-Splitter Theorem

Theorem 8-4 Corollary to Side-Splitter Theorem

If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.


Objectives use side splitter theorem and the triangle angle bisector theorem

Apply the Corollary to the Side-Splitter Theorem

Find the value of x from the diagram below.


Objectives use side splitter theorem and the triangle angle bisector theorem

Real-world Connection

Sail makers sometimes use a computer to create patterns for sails. After the panels are cut out, they are sown together to form the sail.

The edges of the panels in the sail to the right are parallel. Find the lengths of x and y.


Objectives use side splitter theorem and the triangle angle bisector theorem

Triangle-Angle Bisector Theorem

Theorem 8-5 Triangle-Angle Bisector Theorem

If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

CA • DB = CD • BA


Objectives use side splitter theorem and the triangle angle bisector theorem

Using the Triangle-Angle Bisector Theorem

Find the unknown value for the given information.


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