corresponding angles
Corresponding angles are a pair of angles that are formed when a line intersects two parallel lines
Corresponding angles are a pair of angles that are formed when a line intersects two parallel lines.
If you have two parallel lines and a transversal line that intersects them, the corresponding angles are formed in such a way that they are at the same position relative to the two parallel lines. In other words, corresponding angles are in the same position on each of the parallel lines.
Let’s say we have two parallel lines, line A and line B, and a transversal line, line T, as shown below:
A———————B
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T
Corresponding angles are pairs of angles that have their positions relative to lines A and B the same. For example, if we label one angle as angle 1 and its corresponding angle on line B as angle 1′, then these two angles are corresponding angles.
Here are some properties of corresponding angles:
1. Corresponding angles are congruent: If two corresponding angles are formed by the intersection of a transversal line and two parallel lines, then they are congruent. In other words, their measures are equal.
2. They have the same relative position: Corresponding angles have the same position relative to the parallel lines. For example, if angle 1 is formed above the transversal line, then its corresponding angle 1′ will also be formed above the transversal line.
3. Corresponding angles are formed on the same side of the transversal line: If you extend the lines further, corresponding angles will always be on the same side of the transversal line.
Understanding and identifying corresponding angles is helpful in solving various types of problems involving parallel lines and transversals.
More Answers:
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