Triangles Theorums

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Last updated 9:56 PM on 11/10/24
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8 Terms

1
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Base angle theorem

If the sides of a triangle are congruent, then the angles opposite them are also congruent.

2
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Converse base theorem

If angles of a triangle are congruent, then the sides opposite are also congruent.

3
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Triangle sum theorem

The sum of the interior angles of a triangle is 180°.

4
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Exterior angles theorem

The sum of the exterior angles of a triangle is always 360°.

5
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Remote interior angles

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

6
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Exterior angle measure

The measure of an exterior angle of a triangle is equal to the sum of the two remote interior angles.

7
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Exterior Angle Inequality Theorem

The measure of any exterior angle is greater than either of the remote interior angles.

8
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Triangle Inequality Theorem

The sum of the lengths of the two smallest sides of a triangle is always greater than the length of the third side.