Triangles and Triangle theorems

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Last updated 7:18 PM on 6/18/26
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19 Terms

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equilateral triangle

A triangle with three congruent sides

<p>A triangle with three congruent sides</p>
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scalene triangle

a triangle with no congruent sides

<p>a triangle with no congruent sides</p>
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isosceles triangle

a triangle with at least two congruent sides

<p>a triangle with at least two congruent sides</p>
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acute triangle

a triangle with all three angles acute (less than 90°).

<p>a triangle with all three angles acute (less than 90°).</p>
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right angle

a triangle in which one angle is a right angle

<p>a triangle in which one angle is a right angle</p>
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obtuse angle

a triangle where one of the internal angles is obtuse(greater than 90 degrees

<p>a triangle where one of the internal angles is obtuse(greater than 90 degrees</p>
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equiangular triangle

a triangle with all angles congruent

<p>a triangle with all angles congruent</p>
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base angles of an isosceles triangles

the angle opposite the congruent sides in an isosceles triangle

<p>the angle opposite the congruent sides in an isosceles triangle</p>
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base of an isosceles triangle

the non congruent side in an isosceles triangle

<p>the non congruent side in an isosceles triangle</p>
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leg of an isosceles triangle

the two congruent sides of the isosceles triangle

<p>the two congruent sides of the isosceles triangle</p>
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vertex angle of an isosceles triangle

The angle that is not opposite the congruent sides of an isosceles triangle.

<p>The angle that is not opposite the congruent sides of an isosceles triangle.</p>
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Hypotenuse

the side of a right triangle thats opposite the 90 degree angle

<p>the side of a right triangle thats opposite the 90 degree angle</p>
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legs of a right triangle

the sides of a right triangle that aren't the hypotenue

<p>the sides of a right triangle that aren't the hypotenue</p>
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Interior Angles of a Triangle

the angles that are inside a triangle

<p>the angles that are inside a triangle</p>
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exterior Angle

the angle between any side of a shape, and a line extended from the next side

<p>the angle between any side of a shape, and a line extended from the next side</p>
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Exterior Angle Theorem

The measure of an exterior angle of a triangle is equals the sum of the remote of the interior angle of that triangle.

<p>The measure of an exterior angle of a triangle is equals the sum of the remote of the interior angle of that triangle.</p>
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Base Angle Theorem

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

<p>If two sides of a triangle are congruent, then the angles opposite those sides are congruent.</p>
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Triangle Sum Theorem

The sum of the three angles in any triangle sum to 180 degrees.

<p>The sum of the three angles in any triangle sum to 180 degrees.</p>
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Base Angle Theorem Converse

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

<p>If two angles of a triangle are congruent, then the sides opposite those angles are congruent.</p>