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19 Cards in this Set
- Front
- Back
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congruent polygons |
polygons that have corresponding sides congruent and corresponding angles congruent |
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congruent figures |
congruent polygons have congruent corresponding parts - their attaching sides and angles. When you name congruent polygons, you must list corresponding vertices in the same order |
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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 congruent |
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Side-Side-Side (SSS) Postulate |
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. |
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Side-Angle-Side (SAS) Postulate |
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. |
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Angle-Side-Angle (ASA) Postulate |
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle then the two triangles are congruent. |
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Angle-Angle-Side (AAS) Theorem |
if two angles and a non included side of one triangle are congruent to two angles and the corresponding non included side of another triangle, then he triangles are congruent. |
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legs of an isosceles triangle |
the two congruent sides of an isosceles triangle |
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base of an isosceles triangle |
the third side is the base |
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vertex angle of an isosceles triangle |
formed by the two congruent legs |
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base angles of an isosceles triangle |
the other two angles asides from the vertex angle |
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corollary |
a theorem that can be proved easily using another theorem |
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converse of isosceles triangle theorem |
if two angles of a triangle are congruent, then the sides posit those angles are congruent |
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theorem 4-5 (no name) |
if a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base |
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corollary to isosceles triangle theorem |
if a triangle is equilateral, then a triangular is equiangular |
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corollary to converse of the isosceles triangle theorem |
if a triangle is equiangular, then it is equilateral |
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hypotenuse |
the side opposite the right angle o a right triangle |
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legs of a right triangle |
the two sides other than the hypotenuse |
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hypotenuse-leg (HL) theorem |
if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent |
