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Questions and Answers
Which type of lines will never cross because the distance between them remains constant?
Which type of lines will never cross because the distance between them remains constant?
- Curved lines
- Intersecting lines
- Perpendicular lines
- Parallel lines (correct)
What is the special name given to lines that cross at a right angle?
What is the special name given to lines that cross at a right angle?
- Perpendicular lines (correct)
- Intersecting lines
- Curved lines
- Parallel lines
What type of lines cross or meet another line at one and only one point?
What type of lines cross or meet another line at one and only one point?
- Intersecting lines (correct)
- Parallel lines
- Curved lines
- Perpendicular lines
What is the range of angles that intersecting lines can form?
What is the range of angles that intersecting lines can form?
When graphing perpendicular lines, what must be true about their slopes?
When graphing perpendicular lines, what must be true about their slopes?
Which type of line is portrayed visually as a line segment with arrows at each end, indicating that the line continues indefinitely?
Which type of line is portrayed visually as a line segment with arrows at each end, indicating that the line continues indefinitely?
What is the point called where lines or line segments intersect?
What is the point called where lines or line segments intersect?
Can lines and line segments intersect at more than one point?
Can lines and line segments intersect at more than one point?
Which of the following is an example of a curvilinear figure crossing a line?
Which of the following is an example of a curvilinear figure crossing a line?
What do two intersecting lines often look similar to?
What do two intersecting lines often look similar to?
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Study Notes
Properties of Lines
- Parallel lines will never cross because the distance between them remains constant.
Angle Relationships
- Lines that cross at a right angle (90°) are called perpendicular lines.
- Intersecting lines can form a range of angles between 0° and 180°.
Line Intersections
- Lines that cross or meet another line at one and only one point are called intersecting lines.
- The point where lines or line segments intersect is called the point of intersection.
Graphing Lines
- When graphing perpendicular lines, their slopes must be negative reciprocals of each other (m₁ = -1/m₂).
Line Representations
- A line is portrayed visually as a line segment with arrows at each end, indicating that the line continues indefinitely.
Line Intersections
- Lines and line segments can intersect at only one point.
- A circle crossing a line is an example of a curvilinear figure crossing a line.
- Two intersecting lines often resemble an X shape.
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