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18 Cards in this Set
- Front
- Back
Acute Triangle |
A triangle where all angles are acute angles |
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Obtuse Triangle |
Triangle where one (and only one) angles is an obtuse angle |
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Right Triangle (IMPORTANT!) |
Triangle with a 90 degree angle |
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Scalene Triangle |
Triangle with 3 side all DIFFERENT lengths |
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Isosceles Triangle (IMPORTANT) |
Triangle with 2 sides congruents (can be acute, right or obtuse) |
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Equilateral Triangle |
Triangle where all 3 sides are congruent (all 3 angles are also acute, and congruent) |
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Mid segment of a triangle |
There are 3 of them in any triangle. All 3 have this property. |
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Area of a triangle |
1/2 b * h |
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Perimeter of any polygon |
The perimeter is the overall length of the "outside" of the polygon. Just add them all up in order! The answer is a linear measure, so answer is given in units only. |
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Triangle Sum Theorem |
All 3 angles in any triangle add up to 180 degrees! |
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Exterior angle of a triangle |
Exterior angles are the angles formed by the extension of the sides. They lie OUTSIDE the triangle itself. |
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Exterior angle theorem |
The exterior angle is congruent or equal to the sum of 2 "remote" (or far away) interior angles as shown here. |
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Median of a triangle (3 of them!!) |
A median is a segment from a VERTEX point to the MIDPOINT of the opposite side. There are 3 in every triangle |
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Centroid (created by intersection of all 3 medians) |
The centroid is the intersection of all 3 medians. The medians will ALWAYS intersect at this 1 point!! |
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Centroid Theorem |
The distance from the vertex to the centroid is 2/3 the total median length, the other 1/3 is from centroid to midpoint. Works for all 3!! |
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Isosceles Triangle properties and theorems (VERY IMPORTANT TO KNOW THESE 3 things!) |
1. BASE ANGLES are congruent. 2. the altitude (EG here) is the perp. bisector of the base. 3. The altitude ALSO bisects the vertex angle. |
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Distance between any 2 points using the distance formula (harder way in my opinion) |
Use the coordinates and plug into the formula. BE CAREFUL OF THE SUBTRACTION!) |
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Distance between 2 points (or anywhere) using the Pythagorean Theorem (much easier to see!) |
Just make a right triangle out of the rise and run. Square the rise, square the run, add them together, and take the square root!! |