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GAPE.5: Prove the slope criteria for parallel and perpendicular lines. Guided Notes: Parallel and Perpendicular Lineage Using what we learned yesterday: Put the equation in slope intercept form 1.
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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 the lines have the same slope. If they do, they are already parallel. If not, proceed to the next step.
04
Use the point-slope form or the slope-intercept form of a line to find the equation of both lines.
05
Compare the equations of the lines. If the slopes are the same but the y-intercepts are different, the lines are parallel.
06
If you need to graph the lines, plot two points on each line and draw a straight line through the points.
07
To fill out perpendicular lines:
08
Identify two lines that intersect at a right angle.
09
Determine the slopes of both lines.
10
If the slopes of the lines are negative reciprocals of each other, the lines are perpendicular.
11
Use the point-slope form or the slope-intercept form of a line to find the equation of both lines.
12
If you need to graph the lines, plot two points on each line and draw a straight line through the points that forms a right angle.
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What is parallel and perpendicular lines?
Parallel lines are two lines that run in the same direction and never intersect, maintaining a constant distance apart. Perpendicular lines are two lines that intersect at a right angle (90 degrees).
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Filing requirements for parallel and perpendicular lines typically depend on the context, such as zoning regulations, land surveys, or specific industry standards. Generally, professionals in fields like architecture, engineering, and surveying may be required to file these lines.
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To fill out parallel and perpendicular lines in a document, ensure accurate measurements and angles are taken. Use proper drafting tools and software to illustrate the lines clearly with labels indicating which are parallel or perpendicular according to the required specifications.
What is the purpose of parallel and perpendicular lines?
The purpose of parallel and perpendicular lines lies in their applications in geometry, design, and engineering. They help in establishing frameworks, ensuring structural integrity, and maintaining aligned layouts in construction and design projects.
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Information reported on parallel and perpendicular lines may include measurements, angles, the relationship between the lines, and any relevant standards or regulations that govern their use in specific applications.
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