Name:________________________________________ Period:_____
CW 60 -Angle Relationships and Parallel lines
Parallel lines are identified by arrows in between arrows (as shown below). Put a t next to the line that is a
transversal.
Using a sheet protector and a marker, find out which angles are congruent in the image above. Pay attention to the
movement of your sheet protector (transformation sequence). Color each group of angles a different color .
Angles
Color
Congruent or Not
Congruent
Transformation sequence
that shows congruence
<4 & <6
<2 & <8
<7 & <3
What lines make it so the angle pairs (ex: <4 & <6) are congruent?
Definitions of Each group of angles (we will do this as a class at the end):



Alternate Interior AnglesAlternate Exterior AnglesCorresponding Angles-
What are some other Alternate Interior Angles from the image above?
What are some other Alternate Exterior Angles from the image above?
What are some other Corresponding Angles from the image above?
Name of angle
relationship
Alternate Interior
Angles
Alternate Exterior
Angles
Corresponding
Angles
Which line below is the transversal? (put a t next to the line that is the transversal) Do the same thing that you did
above but for the image below (complete the table below).
Angles
Color
Congruent or Not
Congruent
Transformation(s)
that shows congruence
(put none if they’re not)
<4 & <6
<2 & <8
<7 & <3
Name of angle
relationship
Alternate Interior
Angles
Alternate Exterior
Angles
Corresponding
What was different about the image above compared to the image before?
Why weren’t the angle pairs above congruent like before?
Complete the table below the image. Which angles are alternate interior, alternate exterior, and corresponding?
Alternate Exterior
What angles would you have to show are the same in order to show that line a and line b are parallel? Use the
actual names of the angles as discussed earlier (ex: alternate interior). Use your sheet protector and marker if
needed. Explain to the right of the image below.
5
1
6
7
8
2
3
4
Which angles need to be the same for line a to be parallel to line b and which angles to be the same for line c to be
the same as line d? Put your answers in the table below the graph.