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 of =
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 by the corresponding angles postulate.
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
1. Angle 1 and Angle 2 are complementary 1. Given
2. angle 1 + angle 2 = 90 2. ???
What is ... Definition of complementary
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
1. BC is congruent to DE 1. Given
2. BC = DE 2. ??
What is ... Definition of Congruence
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
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 & 6?
What is ... supplementary angles
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
1. Angle XYZ is a right angle 1. Given
2. The measure of angle XYZ = 90 2. ???
What is ... Def. of Right angle
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