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Chapter 4 Geometry

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Section 1

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Corollary to Theorem 4.6

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Geometry Math

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Mar 1, 2020

Cards (16)

Section 1

(16 cards)

Corollary to Theorem 4.6

Front

If a triangle is equilateral, then it is equiangular

Back

Classify Triangles by Angles

Front

Acute, Equiangular, Right, Obtuse

Back

Triangle Sum Theorem

Front

The sum of the measures of the interior angles of a triangle is 180 degrees

Back

Corollary to Theorem 4.7

Front

If a triangle is equiangular, then it is equilateral.

Back

Corollary to the Triangle Sum Theorem

Front

The acute angles of a right triangle are complementary. m<A + m<B = 90.

Back

Angle-Side-Angle (ASA) Congruence Postulate

Front

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.

Back

Theorem 4.7: Converse of the Base Angles Theorem

Front

If two angles of a triangle are congruent, then the sides opposite them are congruent.

Back

Angle-Angle-Side (AAS) Congruence Theorem

Front

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Back

Theorem 4.3 Third Angles Theorem

Front

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

Back

Theorem 4.8: Hypotenuse-Leg (HL) Congruence Theorem

Front

If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

Back

Side-Angle-Side (SAS) Postulate 20

Front

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.

Back

Theorem 4.2 Exterior Angle Theorem

Front

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

Back

Classify Triangles by Sides

Front

Equilateral, Isosceles, Scalene

Back

Side-Side-Side (SSS) Congruence Postulate 19

Front

If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

Back

Theorem 4.6: Base Angles Theorem

Front

If two sides of a triangle are congruent, then the angles opposite them are congruent.

Back

Theorem 4.4: Properties of Congruent Triangles

Front

Reflexive Property of Congruent Triangles Symmetric Property of Congruent Triangles Transitive Property of Congruent Triangles

Back