Theorems

Question 1

Right Angles Congruence Theorem

Answer 1

All right angles are congruent.

Question 2

Congruent Supplements Theorem

Answer 2

If 2 angles are supplementary to the same angle (or to congruent angles), then they are congruent.

Question 3

Congruent Complements Theorem

Answer 3

If 2 angles are complementary to the same angle (or to congruent angles), then they are congruent.

Question 4

Vertical Angles Congruence Theorem

Answer 4

Vertical angles are congruent.

Question 5

Linear Pair Perpendicular Theorem

Answer 5

If 2 lines intersect to form a linear pair of congruent angles, then the lines are perpendicular

Question 6

Perpendicular Transversal Theorem

Answer 6

In a plane, if a transversal is perpendicular to one of 2 parallel lines, then it is perpendicular to the other line

Question 7

Lines Perpendicular to a Transveral

Answer 7

In a plane, if 2 lines are perpendicular to the same line, then they are parallel to each other

Question 8

Triangle Sum Theorem

Answer 8

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

Question 9

Exterior Angle Theorem

Answer 9

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

Question 10

Corollary to the Triangle Sum Theorem

Answer 10

The acute angles of a right triangle are complementary.

Question 11

Side-Angle-Side (SAS) Congruence Theorem

Answer 11

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.

Question 12

Side-Side-Side (SSS) Congruence Theorem

Answer 12

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