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Update Unit 4: Measurement and Geometry.md

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James Su 2019-09-04 23:36:32 +00:00
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Grade 9/Math/MPM1DZ/Unit 4: Measurement and Geometry.md
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4. ```Complementary Angle Theorem``` (CAT)
- The sum of two angles that add up to 90 degrees
- <img src="https://images.tutorvista.com/cms/images/67/complementary-angle.png" width="300">
- <img src="http://images.tutorvista.com/cms/images/67/complementary-angle.png" width="300">
5. ```Angle Sum of a Triangle Theorem``` (ASTT)
- The sum of the three interior angles of any triangle is 180 degrees
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## Median
- Each median divides the triangle into 2 smaller triangles of equal area
- The centroid is exactly <img src="http://latex2png.com/output//latex_e25cac256b7164ee0e2f81c04f66d8ef.png" width="7"> the way of each median from the vertex, or <img src="http://latex2png.com/output//latex_e49d25791981be91167b2d965ce50d51.png" width="7"> the way from the midpoint of the opposite side, or ```2:1``` ratio
- The centroid is exactly $`\dfrac{2}{3}`$the way of each median from the vertex, or $`\dfrac{1}{3}`$ the way from the midpoint of the opposite side, or ```2:1``` ratio
- The three medians divide the triangle into ```6``` smaller triangles of equal area and ```3 pairs``` of congruent triangles
- <img src="https://blog.udemy.com/wp-content/uploads/2014/05/d-median.png" width="500">