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26 Cards in this Set
- Front
- Back
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acute triangle
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a triangle with all acute angles
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obtuse triangle
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a triangle with one obtuse angle
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right triangle
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a triangle with one right angle
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equiangular triangle
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a triangles with all angles congruent
(all angles measure 60 degrees) |
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scalene triangle
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a triangle with no two sides that are congruent
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isoscelse triangle
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a triangle with at least two angles congruent
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equilateral triangle
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a triangle with all sides congruent
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Angle Sum Theorem
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The sum of the measures of the angles is 180 degrees.
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Third Angle Theorem
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If two angles of one triangle are congruent to two angles of a second triangle, then the third angles of the triangles are congruent.
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exterior angle
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remote interior angle
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acute angles of a right triangle are...
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...complementary
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congruent triangles
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CPCTC
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Corresponding Parts of Congruent Triangles are Congruent
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Side-Side-Side Congruence
(SSS) |
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included angle
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the angle formed by two adjacent sides in a polygon
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Side-Angle-Side Congruence
(SAS) |
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included side
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the side between two adjacent angles in a polygon
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Angle-Side-Angle Congruence
(ASA) |
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Angle-Angle-Side Congruence
(AAS) |
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Hypotenuse-Leg Congruence
(HL) |
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and the corresponding leg of another right triangle, then the triangles are congruent.
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vertex angle
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the angle formed by the congruent sides of an isosceles triangle
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base angle
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angle formed by the base and one of the congruent sides of an isosceles triangle
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Isosceles Triangle Theorem
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If two sides of triangle are congruent, then the angles opposite those sides are congruent.
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Converse of the 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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properties of equilateral triangles
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1. A triangle is equilateral if and only if it is equiangular.
2. Each angle measures 60 degrees. |
