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  1. Real-life Examples of Intersecting Lines. Scissors: The two arms of a pair of scissors. Crossroads: Two roads (considered straight lines) meeting at a common point make crossroads. Patterns: The lines on the floor. We use the word “intersection” in daily life in reference to roads or streets.

  2. Example 2: Identify the pair of lines given below as intersecting lines or non-intersecting lines. Solution: According to the direction of lines, if such lines are extended further, they will meet at one point. Therefore, the given pair of lines are intersecting lines. Example 3: Give any two real-life examples of intersecting lines and non ...

    • 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.
  3. Example 1: finding the point of intersection using a graph. Find the point of intersection of the lines y=x+4 and y=2x-3. Plot the graph of the first equation. First plot a graph of the equation y=x+4. Draw a table of values (3 or 4 points are sufficient). 2 On the same set of axes, plot the graph of the second equation.

  4. Illustrated definition of Intersect: To cross over (have some common point) The red and blue lines intersect.

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  6. Example 1: finding the point of intersection using a graph. Find the point of intersection of the lines y=x+4 y = x + 4 and y=2x−3. y = 2x − 3. Plot the graph of the first equation. First plot a graph of the equation y=x+4. y = x + 4. Draw a table of values (3 3 or 4 4 points are sufficient). x.

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