If a transversal intersects two parallel lines, how many pairs of corresponding angles are formed? (2023)
Practice Questions
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If a transversal intersects two parallel lines, how many pairs of corresponding angles are formed? (2023)
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A transversal intersecting two parallel lines forms 4 pairs of corresponding angles.
Questions & Step-by-step Solutions
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Q: If a transversal intersects two parallel lines, how many pairs of corresponding angles are formed? (2023)
Solution: A transversal intersecting two parallel lines forms 4 pairs of corresponding angles.
Steps: 7
Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify the two parallel lines. These are the lines that will be intersected by the transversal.
Step 3: Draw the transversal so that it intersects both parallel lines. You will see that it creates angles at the points where it crosses the parallel lines.
Step 4: Count the angles formed by the transversal and the parallel lines. Each intersection creates two angles.
Step 5: Since there are two intersections (one with each parallel line), you will have a total of 4 angles formed.
Step 6: Identify the pairs of corresponding angles. Corresponding angles are the angles that are in the same position at each intersection.
Step 7: For each intersection, there is one angle that corresponds to one angle at the other intersection. This gives you 4 pairs of corresponding angles.
