2.04 Triangle Proofs

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Geometry & Trigonometry

8th

Last updated 5:15 PM on 1/2/23
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11 Terms

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right angle
an angle that measures 90 degrees
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acute angle
an angle that measures less than 90 degrees
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obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees
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equiangular triangle
A triangle with 3 congruent angles
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scalene triangle
a triangle with no congruent sides
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isosceles triangle
a triangle with at least two congruent sides
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equilateral triangle
A triangle with three congruent sides
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Triangle Sum Theorem
The sum of the measures of the angles of a triangle is 180.
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Triangle Inequality Theorem
the sum of the sides of a triangle is always larger than the length of the third side
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Hinge Theorem
If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second.
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Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.