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16 Cards in this Set
- Front
- Back
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Equilateral Triangles |
All three sides equal in length and all three angles equal in magnitude |
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Isosceles Triangles |
Two sides equal in length and two angles equal in magnitude |
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Scalene Triangles |
No sides equal in length and no angles equal in magnitude |
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Congruent Triangles |
the same area, angles and side lengths |
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Similar Triangles |
the same sized angles lengths in ratio a:b, then their areas will be in ratio a²:b² |
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Angles of a Triangle - Golden Rule |
The sum of the three angles of a triangle = equals 180 |
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Angles of a Triangle
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(2) Angles correspond to their opposite sides (3) Angle a = Angle b then Opposite sides are equal. (4) The biggest angle of a triangle will be opposite to the biggest side of this triangle. |
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What is the SUM of angles of a triangle? |
71 + 49 = 60 + 120 |
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Sides of a Triangle |
(3) The sum of any two sides of a triangle MUST BE GREATER THAN the third side. other side: 11 < x < 73 |
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Common Right Triangles |
• 3-4-5 and its key multiples: 6-8-10, 9-12-15, 12-16-20
• 5-12-13 and its key multiples: 10-24-26 • 8-15-17 |
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IsoscelesTriangles and the 45° - 45º - 90º |
Two equal sides and a relation between each side. |
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Equilateral Triangles and the 30-60-90Triangle |
Cut in half yields two equal 30-60-90 triangles
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Diagonals of other polygons |
• Diagonal of a rectangle - know either both sides or the length of one side and the proportion from this to the other side
• Diagonal of a rectangle - rectangular solid - know the 3 dimensions, you can use pythagorean theorem twice |
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Alternative ways to calculate Area |
You can designate any side of a triangleas the base. Base1 x Height1 = Base2 x Height2 = Base3 x Height3 |
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Alternative way to calculate Area - right triangles |
* if you choose one of the legs as the base,the other leg will be the height. * If you choose the hypotenuse as the base, youwill have to find the height A = 1/2 x (One leg) x (Other leg) = 1/2 Hypotenuse x Height from hypotenuse |
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Alternative ways to calculate Area - equilateral triangle |
* split into two 30-60-90 * If side = S, then it is also the hypotenuse |
