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Basic Theorems of Angles
Sophomore Geometry
By: Shannon Manzella
Alternate Interior Angles Theorem
• The Alternate Interior Angles Theorem states that, when
two parallel lines are cut by a transversal, the resulting
alternate interior angles are congruent.
– A Transversal is a line that intersects a system of other lines.
Click on the transversal to continue
Alternate Interior Angles Theorem
Alternate Interior Angles are the angles
“Alternate” the transversal ...
and Inside or “interior” of the parallel lines
When you see this yellow arrow,
click it to move on
Alternate Interior Angles Theorem
Which are the other pair of
Alternate Interior Angles?
A and E
C and D
B and E
F and C
Correct !
Aren’t you acute-y?
When you see this yellow house,
click it to return to
home and explore
another theorem
Incorrect,
Please try again
When you see this yellow arrow,
click it to go back and try again
Vertical Angles Theorem
• The Vertical Angles Theorem states that Vertical angles are
always congruent.
• Vertical Angles are each of the pairs of opposite angles made by
two intersecting lines.
Click on one of the Vertical Angles to continue
Vertical Angles Theorem
Try thinking of Vertical Angles as “opposites”
The angles share the same lines but are on the
opposite end of those lines
When you see this yellow arrow,
click it to move on
Vertical Angles Theorem
Which is another pair of
Vertical Angles?
A and E
C and D
B and E
C and B
Correct !
Are you a 90⁰ angle?
Because you’re looking right!
When you see this yellow house,
click it to return to
home and explore
another theorem
Incorrect,
Please try again
When you see this yellow arrow,
click it to go back and try again
Corresponding Angles Theorem
• When two parallel lines are cut by a transversal, the resulting
corresponding angles are congruent.
• Parallel lines are two lines on a plane that never meet. They are
always the same distance apart.
Click on the parallel lines to continue
Corresponding Angles Theorem
Corresponding Angles “correspond” to each other.
It almost looks as if they are the same angle,
but they are on the different parallel lines
When you see this yellow arrow,
click it to move on
Corresponding Angles Theorem
Which is another pair of
Corresponding Angles?
A and E
C and A
B and E
C and B
Correct !
Honey, you must be
sweeter than pie!
When you see this yellow house,
click it to return to
home and explore
another theorem
Incorrect,
Please try again
When you see this yellow arrow,
click it to go back and try again
Cite Page
• http://i289.photobucket.com/albums/ll232/cajun154/crying/Sadface.
png
• http://www.theschools.com/theschools/curriculum/Sample10/graphi
cs/obtuse.jpg
• http://www.funnyjunk.com/funny_pictures/1074272/Math
• http://hotmath.com/hotmath_help/topics/alternate-interior-anglestheorem.html
• http://www.geekosystem.com/wpcontent/uploads/2010/08/imgres1.jpeg
Cite Page
• http://www.thefreedictionary.com/transversal
• http://hotmath.com/hotmath_help/topics/vertical-anglestheorem.html
• http://www.mathopenref.com/coplanar.html
• http://www.mathsisfun.com/definitions/parallel-lines.html
• http://hotmath.com/hotmath_help/topics/corresponding-anglespostulate.html
• http://mathworld.wolfram.com/images/eps-gif/RightAngle_1000.gif