Identifying Pairs of Angles
Conclude?
Write the justification
Justifications with
parallel lines
parallel lines
Finding measures given parallel lines
100
What is the name of angles 3 & 6?
What is ... same side interior angles
100
What can you conclude from the following and why? ... X is between D and F
What is ...
DX + XF = DF by the definition of between
100
A = A
What is ... Reflexive Property
100
Given lines m & l are parallel, how can we conclude that m<2 = m<8?
What is ... AEA Theorem
100
If segment XY is parallel to segment ZW, what is the measure of angle 5 and why?
What is ... m<5 = 154 degrees because
corr. ∠'s are ≅ → the lines are parallel
200
What is the name of angles 5 & 3?
What is ... alternate interior angles
200
What can you conclude and why ... M is the midpoint of PQ.
What is ... PM is congruent (or equal) to MQ by the definition of a midpoint.
200
Given: angle D and angle H are supplementary
Then, m∠H + m∠D = 180° because...
What is ... Definition of supplementary angles
200
Given m<4 + m<5 = 180, how can we conclude that lines m and l are parallel?
What is ... Converse of SSIA Theorem
200
Given the lines are parallel and cut by transversal t, find the value of x and why?
What is ... x = 30 by the corresponding angles postulate.
300
What is the name of angles 1 & 7?
What is ... alternate exterior angles
300
What can you conclude and why? ... AB = DF and BC = DF
What is ... AB = BC by the Substitution Property of =
300
Given: q = p and r = p
Then q = r, because...
What is ... Transitive Property
300
Given lines m and l are parallel, how can we conclude that m<4 = m<8?
What is ... Corresponding angles postulate
300
What is the value of x and why?
What is ... x = 17 by the AIA Theorem
400
What is the name of angles 1 & 5?
What is ... corresponding angles
400
What can you conclude and why? ... ray BC bisects angle ABD
What is ... measure of angle ABC = measure of angle CBD by the definition of bisect
400
If AB = BC, then BC = AB.
What is ... Symmetric Property
400
Given m<4 = m<6, how can we conclude that lines m and l are parallel?
What is ... Converse of AIA Theorem
400
What is the value of x and why?
What is ... x = -10 by the SSIA Theorem
500
What is the name of angles 1 & 4?
What is ... linear pair
500
Angle 1 and angle 2 are supplementary
What is ... measure of angle 1 + measure of angle 2 = 180 by the definition of supplementary angles
500
Given: Angle 1 and Angle 2 are vertical angles
Then, m∠2 = m∠1 because...
What is ... Definition of vertical angles
500
Given m<2 = m<4, what can we conclude about lines m and l and why?
What is ... We can conclude nothing about lines m and l.
500
Given parallel lines cut by a transversal, what is the value of x and why?
What is ... x = 20 by the definition of supplementary