8.6 Proportion and Similar Triangles

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8.6: Proportions and Similar Triangles

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Presentation transcript:

8.6 Proportion and Similar Triangles

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

Converse of the Triangle Proportionally Theorem If a line divides two sides of a triangle proportionally, then the line is parallel to the remaining side.

Theorem If three parallel lines are intersected by two lines, then the lines are divided proportionally.

Theorem If a ray bisects one angle of a triangle, then it divides the sides proportional with the sides they are touching.

Solve for x

Solve for x

Show that DE // BC

Show that DE // BC

Solve for x

Solve for x

Solve for x

Solve for x

Homework Page 502 – 503 # 11 - 28

Homework Page 503 – 505 # 29 – 31, 34 – 37, 39, 41 – 50