Angle Congruence Theorems Flashcards

Questions and Answers

What does the Right Angles Congruence Theorem state?

Right angles are complementary.

All angles are equal in measure.

Right angles are always obtuse.

All right angles are congruent. (correct)

What does the Congruent Supplements Theorem state?

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

What is the statement of the Congruent Complements Theorem?

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

Vertical angles are congruent.

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What does the Corresponding Angles Theorem state?

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Signup and view all the answers

What does the Alternate Interior Angles Theorem state?

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Signup and view all the answers

What does the Alternate Exterior Angles Theorem state?

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Signup and view all the answers

What does the Same Side Interior Angle Theorem state?

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. Signup and view all the answers

Study Notes

Angle Congruence Theorems

Right Angles Congruence Theorem
All right angles measure 90 degrees, making them congruent to each other.
Congruent Supplements Theorem
When two angles are supplementary to a common angle, they are equal in measure. This holds true for two angles that are supplementary to congruent angles as well.
Congruent Complements Theorem
If two angles complement a common angle, they are congruent, which also applies to angles that complement congruent angles.
Vertical Angles Congruence Theorem
Vertical angles, formed when two lines intersect, are always equal in measure.
Corresponding Angles Theorem
In parallel lines cut by a transversal, the angles in matching corners (corresponding) are equal.
Alternate Interior Angles Theorem
Parallel lines cut by a transversal create alternate interior angles that are congruent.
Alternate Exterior Angles Theorem
The alternate exterior angles formed when a transversal crosses parallel lines are also congruent.
Same Side Interior Angle Theorem
When a transversal intersects two parallel lines, the interior angles on the same side are supplementary (add up to 180 degrees).

Description

Test your knowledge on angle congruence theorems with these flashcards. Learn about key theorems such as the Right Angles Congruence Theorem, Congruent Supplements Theorem, and Congruent Complements Theorem. Perfect for geometry students looking to strengthen their understanding of angles.