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Lessons 50 & 55: Geometric mean Midsegments & Related Theorems

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1 Lessons 50 & 55: Geometric mean Midsegments & Related Theorems
Unit 4: Triangles Lessons 50 & 55: Geometric mean Midsegments & Related Theorems

2 Geometric Mean Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

3 Geometric Mean Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

4 Geometric Mean Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

5 Geometric Mean Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

6 Mid Segments Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

7 Mid Segments Goals: To define the relationship between a midsegment of a triangle and the side parallel. To use similarity relationships within right triangles. Essential Understandings: The geometric mean between two numbers is the square root of their products. The altitude of a right triangle divides the triangle into three similar triangles. The midsegment of a triangle is parallel to and half the size of side it does not intersect.

8 Equations of Lines Homework: Worksheets 5.1 & 7.4


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