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17 Cards in this Set
- Front
- Back
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Equilateral, Isosceles, scalene triangle |
3 congruent sides; at least 2 congruent sides; no congruent sides |
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Acute, equiangular, right, obtuse triangle |
3 acute angles, 3 congruent angles, 1 right angle, 1 obtuse angle |
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Vertex of triangle |
Each of the three points joining the sides of a triangle |
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Adjacent sides of triangle |
Share a common vertex |
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Interior angles |
Three original angles of triangle |
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Exterior angles |
Angles that are adjacent to the interior angles |
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Triangle sum theorem |
The sum of the measures of the interior angles of a triangle is 180 degrees |
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Exterior angle theorem |
The measure of an exterior angle of a triangle is equal to the sum of the measures of the twisted nonadjacent interior angles |
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Third angles theorem |
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent |
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Congruent figures |
When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent |
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Side side side (SSS) congruence postulate |
If three sides of one triangle are congruent and three sides of a second triangle are congruent, then the two triangles are congruent |
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Side angle side (SAS) congruence postulate |
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent |
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Angle side angle (ASA) congruence postulate |
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent |
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Angle angle side (AAS) congruence theorem |
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two sides are congruent |
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Base angles theorem |
If two sides of a triangle are congruent, then the angles opposite them are congruent |
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Converse of the base angles theorem |
If two angles of a triangle are congruent, then the sides opposite them are congruent |
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Hypotenuse-leg (HL) congruence theorem |
If the Hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent |
