determining which lines are parallel
TRANSCRIPT
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Example: Which lines (if any) must be parallel under the given conditions:
a)
b)
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles
b)
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b)
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b)
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles.
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior angles
c) supplementary to
d)
e)
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1 23 4
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to
d)
e)
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1 23 4
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles.
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d)
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d) We need four lines to form these angles.
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d) We need four lines to form these angles. Therefore, no lines are parallel.
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d) We need four lines to form these angles. Therefore, no lines are parallel.
e)
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d) We need four lines to form these angles. Therefore, no lines are parallel.
e) Lines m and p with transversal s form these angles.
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Example: Which lines (if any) must be parallel under the given conditions:
a) We can see only two lines are needed to form these angles and are vertical angles which are always congruent,
therefore no lines are parallel
b) Lines t and s with transversal t form these angles. and are congruent alternate interior anglesTherefore, lines t and s are parallel.
c) supplementary to Lines m and p with transversal t form these angles. and are interior angles on the same side of the transversal and
are supplementary, therefore lines m and p are parallel.
d) We need four lines to form these angles. Therefore, no lines are parallel.
e) Lines m and p with transversal s form these angles. and 7 are congruent corresponding anglesTherefore, lines m and p are parallel.
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