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3
3.1
3.2
3.3
3.4
3.5Parallel and
Perpendicular Lines
Pairs of Lines and Angles
Parallel Lines and Transversal
Proofs with Parallel Lines
Proofs with Perpendicular Lines
Equations of Parallel and
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How to fill out parallel and perpendicular lines
How to fill out parallel and perpendicular lines
01
To fill out parallel lines:
02
Identify two lines that are in the same plane.
03
Determine if they have the same slope. If their slopes are equal, they are parallel.
04
If they do not have the same slope, find the y-intercept of each line.
05
Write the equations of the lines in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
06
If the y-intercepts are different, the lines are parallel and will never intersect.
07
To fill out perpendicular lines:
08
Identify two lines that are in the same plane.
09
Determine the slopes of the lines.
10
If the slopes are negative reciprocals of each other, the lines are perpendicular.
11
Write the equations of the lines in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
12
If the lines have different slopes and are negative reciprocals, they are perpendicular.
Who needs parallel and perpendicular lines?
01
Parallel and perpendicular lines are important in various fields and professions, including:
02
- Architects and engineers use parallel lines to create geometrically pleasing structures and ensure components are level or equidistant.
03
- Electricians use perpendicular lines to ensure safe and efficient wiring layouts.
04
- Carpenters use parallel lines to build straight and aligned structures.
05
- Mathematicians and scientists use parallel and perpendicular lines in various calculations and modeling.
06
- Designers and artists use parallel and perpendicular lines to create visually appealing compositions.
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What is parallel and perpendicular lines?
Parallel lines are two or more lines that will never intersect, no matter how far they are extended. Perpendicular lines intersect at a 90-degree angle.
Who is required to file parallel and perpendicular lines?
Architects, engineers, and designers may be required to work with parallel and perpendicular lines in their field of work.
How to fill out parallel and perpendicular lines?
To draw parallel lines, use a ruler or straightedge to ensure they are equidistant from each other. To draw perpendicular lines, measure a 90-degree angle with a protractor or a square.
What is the purpose of parallel and perpendicular lines?
Parallel and perpendicular lines are used in design and construction to create accurate and symmetrical structures.
What information must be reported on parallel and perpendicular lines?
The distance between the lines and the angle of intersection must be reported when working with parallel and perpendicular lines.
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