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19 Cards in this Set
- Front
- Back
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triangle sum theorem
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the sum of the angle measures of a triangle is 180 degrees
m<a+m<b+m<c=180 degrees |
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4-2-2
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the acute angles of a right triangle are complementary
<d+<e=90 degrees |
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4-2-3
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the measure of each angle of an equilateral triangle is 60 degrees
m<a=m<b=m<c=60 degrees |
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exterior angle theorem
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the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles
m<4=m<1+<2 |
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third angles theorem
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if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent
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auxilliary line
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a line that is added to a figure to aid in a proof
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remote interior angle
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an interior angle that is not adjacent to the exterior angle
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acute triangle
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three angles that are less than 90 degrees
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equiangular triangle
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three congruent acute angles (all are 60 degrees)
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right triangle
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one right angle
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obtuse triangle
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one obtuse angle
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equilateral triangle
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three congruent sides
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isosceles triangle
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has at least two congruent sides
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scalene triangle
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no congruent sides
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sss
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if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent
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sas
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if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent
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asa
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if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent
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aas
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if two angles and a non included side of one triangle are congruent to the corresponding angles and non included side of another triangle, then the triangles are congruent
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hl
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if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another triangle, then the triangles are congruent
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