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  1. Showing that intersecting lines are parallel or perpendicular. Two lines are parallel if they have the same gradient. Two lines are perpendicular if the product of their gradients is -1. By considering the gradients of the two lines, you can decide whether they are parallel lines, perpendicular lines or neither.

    • Complete the following statements with either sometimes, never, and always. Parallel lines can ____________ be intersecting lines. Perpendicular lines can ____________ be intersecting lines.
    • Which of the following statements is not true? Three intersecting lines can share a common point of intersection. Two intersecting lines form two pairs of vertical angles.
    • Construct a line that will intersect Line $\overline{AB}$. Label the line and intersection point, then name four angles formed by the two intersecting lines.
    • It will be impossible to create four intersecting lines that only share one point of intersection. Prove the statement wrong by constructing a counterexample.
  2. The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle. This angle formed is always greater than 0 ∘ and less than 180 ∘. Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of ...

  3. May 20, 2024 · Intersecting lines can be identified by locating the point where they cross or meet. Do intersecting lines always form a right angle? No, intersecting lines can form various angles depending on their orientation. Can more than two lines intersect at a single point? Yes, multiple lines can intersect at the same point creating a complex network ...

  4. Oct 11, 2024 · We say that two lines in 2D or 3D space are intersecting if they cross each other. The intersecting lines can cross at one point only — this point is called the point of intersection. If two lines have more than one point in common, then these lines coincide (i.e., are the same). It's also possible that two lines do not intersect at all.

    • Anna Szczepanek
  5. Angles Formed by Two Intersecting Lines. When two lines intersect each other, different types of angles are formed. The angles formed by the intersection of two lines are vertical angles, adjacent angles, linear pairs of angles. Adjacent Angles (Bold) Adjacent angles are the angles that share a common vertex and a common side.

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  7. In the Cartesian coordinate plane (using x and y, as we do at GCSE), two given lines l_{1} and l_{2} have either one intersection point, or no intersection points. If a pair of lines do not intersect and have no common point, they are parallel. Remember that parallel lines have the same gradient. Perpendicular lines intersect at right angles.

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