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20 Cards in this Set
- Front
- Back
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Equilateral
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Triangles have three congruent sides.
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Isosceles
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Triangles have at least two congruent sides.
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Scalene
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Triangles have no congruent sides.
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Acute Triangle
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Triangles have three acute angles.
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Eqauiangular
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Triangles have three congruent angles.
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Right Triangle
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Triangles have exactly one right angle.
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Obtuse Triangle.
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Triangle have exactly one obtuse angle.
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Acute, Isosceles Triangle
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All angles appear to be acute, two sides have the same measure.
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Acute, equiangular, equilateral triangle
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All three angles are congruent, so this is an equiangualr triangle, angles are acute, all three sides are congruent.
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Right Scalene Triangle
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there is one right angle in this triangle, all three sides of the triangle are different measures.
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Constraints
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Limitations
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TRIANGLE SUM THEOREM
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The sum of the measure of the angles in a triangle is 180 degrees.
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TRIANGLE EXTERIOR ANGLE THEOREM
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The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. (REMOTE: known as opposite interior angles.)
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LINEAR PAIR
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MAKE A STRAIGHT LINE
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Congruent sides to a Isosceles Triangle are called legs
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The third side of an isosceles triangle is called its Base
The two congruent sides form the Vertex angle of an Isosceles triangle |
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THEOREM 3-3 ISOSCELS TRIANGLE THEOREM
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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
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THEOREM 3-4 CONVERSE OF ISOSCELES TRIANGLE THEOREM
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If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
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TRIANGLE SUM THEOREM
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The sum of the measure of the angles in a triangle is 180
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TRIANGLE EXTERIOR ANGLE THEOREM
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The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
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COROLLARY TO THE TRIANGLE EXTERIOR ANGLE THEOREM
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The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles.
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