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Nov 1, 2024 · Two lines that form right angles when they intersect are perpendicular lines. All four angles formed by the perpendicular lines measure 90 ∘. If any of the four angles is marked with the small box, the lines are perpendicular. Take a look at the perpendicular lines below. Lines that never intersect are parallel lines.
- Working Rules to Draw Parallel Lines
- Drawing Parallel Lines with Set Squares
- Activity
Step I:Draw two lines ℓ and m in such a way that when these two lines are extended in either direction, they do not meet at any point. There is no common point. Step II:These lines are parallel lines. We write them as ℓ || m.
Draw a line segment through P which is parallel to AB←→AB↔. Procedure: Step I: Place one edge of the two smaller edges of any set square along AB←→AB↔. Step II:Place the longest edge of the other set square along the free side of the first set square. Step III: Press the second set square in position and slide the first set square until its edge pa...
Step I:Take a rectangular sheet of paper. Step II: Fold it half so that one part may cover the other part completely. Step III:Fold it again in the same manner. Step IV:Now unfold it to get three creases. These creases are parallel to one another. Solved Problems on Parallel Lines: Worksheet on Parallel Lines: 1. Draw the following: (i) Draw a line...
- Name the line shown in red. Solution. The red line goes through the points C and F, so the line is \(\overleftrightarrow{CF}\). The section between any two points on a line is called a line segment.
- Identify each line and line segment in the picture below. Solution. Two points define a line, and a line is denoted with arrows. There are two lines in this picture: \(\overleftrightarrow{CE}\) and \(\overleftrightarrow{BG}\).
- Identify each point and ray in the picture below. Solution. There are four points: A, B, C, and D. There are also three rays, though only one may be obvious.
- Label each angle below as acute, right, or obtuse. Solution. You can start by identifying any right angles. ∠GFI is a right angle, as indicated by the corner mark at vertex F.
Parallel lines are two or more lines that are always the same distance apart and never intersect, even if they’re extended infinitely in both directions. They’re always equidistant (a fancy word for ‘at equal distances’) and run in the same direction, which means they have the same slope.
Two lines are termed as parallel if they lie in the same plane, are the same distance apart, and never meet each other. Perpendicular lines are intersecting lines that always meet at an angle of 90°.
When a line is perpendicular to two lines on the plane (where they intersect), it is perpendicular to the plane. It will also be perpendicular to all lines on the plane that intersect there.
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To make the definition more accurate, we could say: "Parallel lines are two distinct lines in the same plane that never meet, no matter how far they are extended in either direction." This definition excludes coincident lines because it specifies that the lines must be distinct.
