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Geometry Flash Cards
Help on Chapter 4 Theorems
15
Mathematics
9th Grade
12/13/2009

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Term
Triangle Sum Theorem
Definition
The sum of the measures of the interior angles of a triangle is 180 degrees.
Term
Exterior Angle Theorem
Definition
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
Term
Corollary to The Triangle Sum Theorem
Definition
The acute angles of a right triangle are complementary.
Term
Side-Side-Side (SSS) Congruence Postulate
Definition
If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Term
Side-Angle-Side(SAS)Congruence Postulate
Definition
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.
Term
Hypotenuse-Leg(HL) Congruence Theorem
Definition
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.
Term
Angle-Side-Angle (ASA) Congruence Postulate
Definition
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.
Term
Base Angles Theorem (BAT)
Definition
If two sides of a triangle are congruent then the angles opposite them are congruent.
Term
Converse of Base Angles Theorem (ConBAT)
Definition
If two angles of a triangle are congruent, then the sides opposite them are congruent.
Term
Corollary to the Base Angles Theorem
Definition
If a triangle is equillateral, then it is equillangular.
Term
Corollary to the Converse of the Base Angles Theroem
Definition
If a triangle is equillangular, then it is equillateral.
Term
TRUE/FASLE: If two triangles have two congruent angles and one congruent side, they are congruent.
Definition
FALSE
Term
TRUE/FALSE: A triangle can have three acute angles.
Definition
FASLE: A triangle can only have two acute angles.
Term
TRUE/FALSE: If two isoscles triangles have two sets of congruent legs, then the base angles are congruent.
Definition
TRUE: BAT
Term
In a right triangle, the side opposite the right angle is called the _____ of the right triangle.
Definition
Hypotenuse
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