Which of the diagrams contain parallel lines?
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Which of the diagrams contain parallel lines?
In drawing B, we observe two right angles, which teaches us that they are practically equal. From this, we can conclude that they are corresponding angles, located at the intersection of two parallel lines.
In drawing A, we only see one right angle, so we cannot deduce that the two lines are parallel.
B
The lines below are not the same size, but are they parallel?
Look for angle markings that show equal corresponding angles! In diagram B, both right angle symbols show the lines create equal angles with the transversal, proving they're parallel.
Diagram A only shows one right angle marking. Without a second equal angle to compare, we can't prove the lines are parallel using the corresponding angles theorem.
Corresponding angles are in the same relative position when a transversal crosses two lines. If these angles are equal, the lines must be parallel!
No! Parallel lines can make any equal angles with a transversal. Right angles are just one special case that's easy to identify in diagrams.
Yes! You can also use alternate interior angles, alternate exterior angles, or co-interior angles. All of these have special properties when lines are parallel.
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