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Geometry Chp 4 Vocab
Geometry Notes - Chp 4 Terms and Theorems
15
Mathematics
10th Grade
03/01/2012

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Term
Congruent Polygons
Definition
Have congruent corresponding parts – their matching sides and angles. When you are naming them, you must list corresponding vertices in the same order.
Term
Legs
Definition
Congruent sides of an isosceles triangle.
Term
Base
Definition
The third side of an isosceles triangle (opposite of its legs).
Term
Vertex Angle
Definition
It is formed by two congruent legs.
Term
Base Angles
Definition
The two angles opposite of a triangles vertex angle.
Term
Corollary
Definition
A theorem that can be proved easily using another theorem.
Term
Hypotenuse Leg (HL) Theorem
Definition
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.
(Works only if there are two right triangles, the triangles have congruent hypotenuses, and there is one pair of congruent legs.)
Term
Third Angles Theorem
Definition
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
Term
Angle-Side-Angle (ASA)
Definition
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.
Term
Side-Angle-Side (SAS)
Definition
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.
Term
Side-Side-Side (SSS)
Definition
If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
Term
Angle-Angle-Side (AAS)
Definition
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.
Term
Isosceles Triangle Theorem
Definition
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Term
Converse of the Isosceles Triangle Theorem
Definition
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Term
Hypotenuse
Definition
In a right triangle, the side opposite of the rignt angle. Also, the longest side of a right triangle.
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