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Lesson 3-1 Parallel Lines and Transversals
Lesson 3-2 Angles and Parallel Lines
Lesson 3-3 Slopes of Lines
Lesson 3-4 Equations of Lines
Lesson 3-5 Proving Lines Parallel
Lesson 3-6 Perpendiculars and Distance
Example 1 Identify Parallel Lines
Example 2 Solve Problems with Parallel Lines
OBJECTIVE: To recognize angle conditions that
occur with parallel lines (2.9.8E) (M8.C.1.1.3)
Determine which lines,
if any, are parallel.
consecutive
interior angles are supplementary. So,
consecutive
interior angles are not supplementary. So, c is not parallel
to a or b.
Answer:
Determine which lines, if any, are parallel.
Answer:
ALGEBRA Find x and mZYN so that
Explore From the figure, you know that
and
You also know that
are alternate exterior angles.
Plan For line PQ to be parallel to MN, the alternate exterior
angles must be congruent.
Substitute the given angle measures into this equation
and solve for x. Once you know the value of x, use
substitution to find
Solve
Alternate exterior angles
Substitution
Subtract 7x from each side.
Add 25 to each side.
Divide each side by 4.
Original equation
Simplify.
Examine Verify the angle measure by using the value of x to
find
Since
Answer:
ALGEBRA Find x and mGBA so that
Answer:
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