Geometry Geometric Theorems Flashcards
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Questions and Answers

What does the Linear Pair Theorem state?

If two angles form a linear pair, then they are supplementary.

What does the Congruent Supplements Theorem state?

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

What does the Right Angle Congruence Theorem state?

All right angles are congruent.

What does the Congruent Complements Theorem state?

<p>If two angles are complementary to the same angle, then the two angles are congruent.</p> Signup and view all the answers

What does the Common Segments Theorem state?

<p>If AB=CD, then AC=BD.</p> Signup and view all the answers

What does the Vertical Angles Theorem state?

<p>Vertical angles are congruent.</p> Signup and view all the answers

Study Notes

Geometric Theorems

  • Linear Pair Theorem: States that when two angles form a linear pair, they are always supplementary (sum to 180 degrees).

  • Congruent Supplements Theorem: If two angles are both supplementary to a single angle, those two angles must be congruent to each other.

  • Right Angle Congruence Theorem: Establishes that all right angles (90 degrees) are congruent, meaning they all have the same measure.

  • Congruent Complements Theorem: If two angles are complementary to the same angle, then those two angles are congruent to each other.

  • Common Segments Theorem: If two line segments AB and CD are equal in length (AB = CD), then the segments AC and BD must also be equal in length (AC = BD).

  • Vertical Angles Theorem: Proclaims that vertical angles, formed when two lines intersect, are congruent to one another.

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Description

Test your knowledge of essential geometric theorems with these flashcards. From the Linear Pair Theorem to the Right Angle Congruence Theorem, this quiz covers key concepts in geometry. Perfect for students looking to reinforce their understanding of angle relationships.

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