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Amsco Integrated Algebra I: Angles and Parallel Lines |
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This is a free lesson from our course in Amsco's Integrated Algebra
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This lesson explains about parallel lines and interior, exterior, alternate
interior and exterior, and corresponding angles. Two or more lines are called parallel
lines if and only if the lines lie in the same plane but do not intersect. The symbol
used for parallel lines to each other is ||. E.g. Line AB is parallel to CD is represented
by AB || CD. When two lines are parallel, they have no points in common.
A transversal is a line that intersects two or more lines (in the same plane). When
lines intersect, angles are formed in several locations and names of certain angles
describe ‘where’ the angles are located in relation to the lines. These names describe
angles regardless of the lines being parallel or not parallel.
(More text below video...)
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People who saw this lesson also found the following lessons useful: |
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(Continued from above)
When two lines are
cut by a third line i.e. traversal, two set of angles, each containing four angles,
are formed. Such angles are: interior angles, exterior angles, alternate interior
angles, alternate exterior angles, interior angles on the same side of the transversal,
corresponding angles.
Note: the word interior means between the lines, the word exterior means outside
the lines and the word alternate means ‘alternating sides’ of the transversal. There
are other angle relationships also occurring when working with parallel lines. E.g.
vertical angles, which are always equal (whether you have parallel lines or not),
and are congruent.
Remember it!
Alternate Interior Angles and Parallel Lines: statement without proof- If two parallel
lines are cut by a transversal, then the alternate interior angles that are formed
have equal measures, i.e. they are congruent.
Corresponding Angles and Parallel Lines: theorem- If two parallel lines are cut
by a transversal, then the corresponding angles formed have equal measures, that
is, they are congruent. Alternate Exterior Angles and Parallel Lines: theorem- If
two parallel lines are cut by a transversal, then the alternate exterior angles
formed have equal measures, that is, they are congruent. Interior Angles on the
Same Side of the Transversal: theorem- If two parallel lines are cut by a transversal,
then the sum of the measures of the interior angles on the same side of the transversal
is 180°.
The video above will explain about angles and parallel lines in detail with the
help of figures and examples.
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As many of you know, Winpossible's online courses use a unique teaching method where
an instructor explains the concepts in any given area to you in his/her own voice
and handwriting, just like you see your teacher explain things to you on a blackboard
in your classroom. This particular lesson includes the teacher's instruction, practice
questions as well as end-of-lesson quizzes for practice. As we mentioned above,
you can
enroll in our online course in Trigonometry by clicking here.
The format of Winpossible's online courses is also very suitable for teachers who
are using an interactive whiteboard such as Smartboard on Promethean in their classrooms,
because the course lessons can be easily displayed on such interactive whiteboards.
Volume pricing is available for schools interested in our online courses. For more
information, please contact us at educators@winpossible.com.
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