Corresponding Angles (Parallel Lines)
Corresponding angles are a pair of angles that are formed when a straight line intersects two parallel lines
Corresponding angles are a pair of angles that are formed when a straight line intersects two parallel lines. They are located in the same relative position at each intersection point on the lines.
To understand corresponding angles, let’s consider two parallel lines, line A and line B, intersected by a transversal line C. When line C intersects line A and line B, it creates various angles. The angles that are opposite each other at the same intersection point are called corresponding angles.
In the diagram below, two parallel lines, line A and line B, are intersected by the transversal line C. The corresponding angles are labeled as a and a’, b and b’, c and c’, d and d’.
“`
a a’
——————-
/ /
/ /
/ C /
/ ———— /
/ B /
/ ________ /
| A |
|_________________|
b b’
“`
It is worth noting that corresponding angles are congruent if the lines intersected by the transversal are parallel. In other words, the corresponding angles have the same measure or size.
For example, in the diagram above, angle a is congruent to angle a’, angle b is congruent to angle b’, angle c is congruent to angle c’, and angle d is congruent to angle d’. This congruency holds true regardless of the size or shape of the angles.
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