Geometry Theorem Quiz

Segment congruence is reflexive, symmetric, and transitive.Reflexive For any segment AB, AB — ≅ AB — .Symmetric If AB — ≅ CD — , then CD —≅ AB — .Transitive If AB — ≅ CD — and CD —≅ EF — , then AB — ≅ EF — .

• 2.1 Properties of Segment Congruence
• 3.2 Alternate Interior Angles Theorem
• 10.20 Segments of Secants and Tangents Theorem
• 6.12 Hinge Theorem

Angle congruence is reflexive, symmetric, and transitive.

• 2.2 Properties of Angle Congruence
• 6.5 Circumcenter Theorem
• 8.1 Perimeters of Similar Polygons
• 3.7 Alternate Exterior Angles Converse

All right angles are congruent

• 2.3 Right Angles Congruence Theorem
• 7.20 Kite Opposite Angles Theorem
• 2.5 Congruent Complements Theorem
• 8.7 Converse of the Triangle Proportionality Theorem

If two angles are supplementary to the same angle (or to congruent angles), then the two angles are congruent.

• 2.4 Congruent Supplements Theorem
• 9.3 Pythagorean Inequalities Theorem
• 10.14 Tangent and Intersected Chord Theorem
• 7.3 Parallelogram Opposite Sides Theorem

If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.

• 2.5 Congruent Complements Theorem
• 6.8 Triangle Midsegment Theorem
• 7.2 Polygon Exterior Angles Theorem
• 7.3 Parallelogram Opposite Sides Theorem

Vertical angles are congruent

• 2.6 Vertical Angles Congruence Theorem
• 5.5 Side-Angle-Side (SAS) Congruence Theorem
• 8.6 Triangle Proportionality Theorem
• Corollary to the Converse of the Base Angles Theorem

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

• 3.1 Corresponding Angles Theorem
• 8.2 Areas of Similar Polygons
• 9.9 Law of Sines
• 6.13 Converse of the Hinge Theorem

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

• 3.2 Alternate Interior Angles Theorem
• 9.10 Law of Cosines
• 3.12 Lines Perpendicular to a Transversal Theorem
• 5.9 Hypotenuse-Leg (HL) Congruence Theorem

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

• 3.3 Alternate Exterior Angles Theorem
• Corollary 7.3 Rectangle Corollary
• 2.4 Congruent Supplements Theorem
• 5.1 Triangle Sum Theorem

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

• 3.4 Consecutive Interior Angles Theorem
• 6.7 Centroid Theorem
• 10.12 Inscribed Right Triangle Theorem
• 2.4 Congruent Supplements Theorem