What is the definition of congruence?
When two angles are congruent, they are also equivalent to each other.
m∠A=90 <-> ∠A is a right angle
Def of a Right Angle
What is the fifth term?
Vertical angles theorem.
m∠3 = m∠10 <-> ∠3 ≅ ∠10
Def of congruence
What is the definition of an angle bisector?
It divides an angle into two equal parts.
∠A and ∠B form a right angle -> ∠A is complementary to ∠B
Complement theorem
What are the given
∠JKM and ∠MKL form a linear pair; ∠JKM and ∠LKN supplementary
When do you use Angle proofs
when working with angles
What is the Congruent Complements Theorem?
If two different angles are complementary to the same angle, then they're congruent.
1><2
∠1 is congruent to ∠2
Vertical angles theorem
What are you wanting to show?
∠MKL is congruent to ∠LKN
∠1=90*; ∠8=∠1
What is ∠8+∠1
180*
What is the Linear Pair theorm?
When two angles that form a linear pair also are supplementary.
∠1 and ∠2 are supplementary
∠1+∠2=180*
Definition of supplementary angles
what is the reason prior to the third Reason
Supplementary theorem.
If ∠5+∠9= 90* and ∠4 & ∠9 are complementary, then what is the relation between ∠5 and ∠4?
they are congruent
What is the definition of Perpendicular angles?
When perpendicular lines form right angles.
∠X is complementary to ∠Y
∠W is complementary to ∠Y
∠X is congruent to ∠W
Congruent Complements Theorem
what is the sixth statement & reason?
m∠2 = m∠3; Definition of congruence
If two angles are Supplementary, what else are they?
180*/a Linear pair (depends on property used) (both needed for correct answer)