Name: ________________________
Parallel Lines Cut by a Transversal
Angle 1
Angle 4
Angle 5
Angle 8
Angle 2
Angle 3
Angle 6
Angle 7
Exterior Angles: _____,_____,_____,_____
Interior Angles: _____,_____,_____,_____
Alternate Exterior Angles: _____&_____, _____&_____
Alternate Interior Angles: _____&_____, _____&_____
Corresponding Angles: _____&_____, _____&_____, _____&_____, _____&_____
Same Side Interior Angles: _____&_____, _____&_____
Fill in after completing GSP worksheet
Summary:
Corresponding Angles are ________________
Alternate Exterior Angles are ________________
Alternate Interior Angles are ________________
Same Side Interior Angles are ________________
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Name:_____________________
GSP-Parallel Lines cut by a Transversal
Directions: Follow instructions and answer questions.
1) GSP: Construct two lines that are parallel.
2) GSP: Construct a transversal.
3) GSP: Find the measure of all the angles. (First construct the 2 points of intersection of
parallel lines and transversal) Move the angle measurements to the angle for which its
measure is. Then hide all the points. (Your measurements will not be the same as this
one)
m! A B C
m!
m!F E B
m!
FEH
C BE
=
=
1 22
5 8
°
=
=
1 22
5 8
m !A B D
°
°
m!
m! B E G
°
m !H
EG
=
D BE
=
=
5 8
1 22
=
5 8
1 22
°
°
°
°
4) GSP: Re-label all the angles as the diagram below is by right clicking on each angle,
going to properties, under label tab retype the label then click on ok.
Angle 1 = 122 °
Angle 4 = 58°
Angle 5 = 122 °
Angle 8 = 58°
Angle 2 = 58°
Angle 3 = 122 °
Angle 6 = 58°
Angle 7 = 122 °
Describe everything you notice about your diagram of parallel lines cut by a transversal.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
What do you notice about the angle measurements? ______________________________
________________________________________________________________________
Which angles are congruent?
______=______=______=______
______=______=______=______
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Are the alternate interior angles congruent? ______
Are the alternate exterior angles congruent? ______
Are the corresponding angles congruent? ______
Are the same side interior angles supplementary? ______
5) GSP: Move a point on the transversal to move the transversal, this will change the
angle measurements.
Are your answers from 4) the same after you moved the transversal? _______
6) Look at the diagrams of parallel lines cut by a transversal below.
If we cut a line along the dotted line through the transversal, this will leave two sets of
intersecting lines in which we already know vertical angles are congruent.
If we slide the intersecting lines together so the lines match up,
the two sets of intersecting lines match up exactly. Now using the
diagram below and knowing that the intersecting lines are equal
and vertical angles are equal, name all the congruent angles.
Angle 1
Angle 4
Angle 5
Angle 8
Angle 2
Angle 3
Angle 6
______=______=______=______
______=______=______=______
Angle 7
Are the alternate interior angles congruent? ______
Are the alternate exterior angles congruent? ______
Are the corresponding angles congruent? ______
Are the same side interior angles supplementary? ______
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Name: _______________________
Angle 1
Angle 4
Angle 3
Angle 6
Angle 5
Angle 8
Angle 2
Angle 7
Angle 8
Angle 7
Angle 5
Angle 4
Angle 6
Angle 1
Angle 3
Angle 2
Angle 1 Angle 2
Angle 6
Angle 8
Angle 7
Angle 1
If Angle 1=115˚, what are the angle measurements of
<2=_____
<3=_____
<4=_____
Angle 2
Angle 3
Angle 4
Angle 1
Angle 2
Angle 4
If Angle 5= 135˚, what are the angle measurements of
<1= _____
<2= _____
<3= _____
<4= _____
<6= _____
<7= _____
<8= _____
If Angle 7= 90˚, what are the angle measurements of
<1= _____
<2= _____
<3= _____
<4= _____
<5= _____
<6= _____
<8= _____
Angle 4 Angle 3
Angle 5
If Angle 2= 65˚, what are the angle measurements of
<1= _____
<3= _____
<4= _____
<5= _____
<6= _____
<7= _____
<8= _____
If Angle 3=64˚, what are the angle measurements of
<1=_____
<2=_____
<4=_____
Angle 3
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Name: ___Answer Key_____________
Angle 1
Angle 4
Angle 3
Angle 6
Angle 5
Angle 8
Angle 2
Angle 7
Angle 8
Angle 7
Angle 5
Angle 4
Angle 6
Angle 1
Angle 3
Angle 2
Angle 4 Angle 3
Angle 6
Angle 8
Angle 7
Angle 1
If Angle 1=115˚, what are the angle measurements of
<2=_65˚_
<3=_115˚
<4=_65˚_
Angle 2
Angle 3
Angle 4
Angle 1
Angle 2
Angle 4
If Angle 5= 135˚, what are the angle measurements of
<1= _135˚
<2= _45˚_
<3= _135˚
<4= _45˚_
<6= _45˚_
<7= _135˚
<8= _45˚_
If Angle 7= 90˚, what are the angle measurements of
<1= _90˚_
<2= _90˚_
<3= _90˚_
<4= _90˚_
<5= _90˚_
<6= _90˚_
<8= _90˚_
Angle 1 Angle 2
Angle 5
If Angle 2= 65˚, what are the angle measurements of
<1= _115˚
<3= _115˚
<4= _65˚_
<5= _115˚
<6= _65˚_
<7= _115˚
<8= _65˚_
If Angle 3=64˚, what are the angle measurements of
<1=_64˚_
<2=_116˚
<4=_116˚
Angle 3
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