Congruent Supplements Theorem Geometry

What is the congruent supplements theorem? 

• If angles are complementary to the same angle then those two angles are congruent

• If S in the interior angle PQR then angle SQR = angle PQR

• If angles are supplementary to the same angle those two angles are congruent

• All right angles are congruent

What is the purpose of the Congruent Supplements Theorem in geometry?

• To prove the Vertical Angles Congruence Theorem

• To show that supplementary angles are linear pairs.

• To make geometry more complicated

• To show when two angles supplement the same third angle, they are congruent.

• F

• G

• H

• J

Which statement belongs in step 2?

• ∠4 ≅ ∠5

• ∠4 ≅ ∠7

• ∠4 ≅ ∠6

• ∠5 ≅ ∠7

• Definition of Supplementary
• Congruent Supplements theorem
• Substitution
• Transitive property

Find m∠3. ∠2 and ∠3 are complementary. ∠1≅ ∠4 and m∠2 = 28.

• 62°

• 45°

• 28°

• 72°

Find m∠12 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Find m∠13 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Complete Reason 2 in this proof

• Definition of Complementary Angles

• Linear Pair Postulate

• Definition of Supplementary Angles

• Congruent Supplements Theorem

Which equation can be used to determine the value of x?

• 2x + 10 = 46

• 2x + 10 + 46 = 180

• 2x + 10 + 46 = 90

• not here