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Angles Formed by Parallel Lines and Transversals, Slides of Mathematics
The relationships between angles formed when parallel lines are cut by a transversal. It covers the concepts of corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles. Examples and step-by-step explanations to determine the measures of unknown angles given the measure of one angle. It also includes an activity where the reader is asked to find the measurements of all the angles when parallel lines are cut by a transversal and the measure of one angle is provided. This document would be useful for students studying geometry, particularly the properties of parallel lines and transversals, as it provides a comprehensive understanding of the topic through clear explanations and practical examples.
Typology: Slides
2023/2024
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Good
morning
class!
Let’s recall!
What am I?
Corresponding Angle
What am I?
Alternate Interior Angle
What am I?
Same side Interior Angle
What am I?
Same side Exterior Angle
Now, let’s determine the relationship between pairs of angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning. We can find any unknown angle measure when two parallel lines are cut by a transversal if one angle measure is given. Using the figure below of parallel lines cut by a transversal to answer the example problems.
If m ∠1= 55, what are the measures of:
m∠
- (^) ∠ 1 & ∠5 are corresponding angles, then they are congruent. Therefore, m∠ 5 = 55 m∠
- (^) ∠ 4 & ∠6 are alternate interior angles, then they are congruent. Therefore, m∠ 6 = 125 m∠
- (^) ∠ 1 & ∠7 are alternate exterior angles, then they are congruent. Therefore, m∠7 = 55 m∠
- (^) ∠ 1 & ∠8 are same-side exterior angles, then they are supplementary. Therefore, m ∠8 = 180 –
For your activity, lines p and q are cut by transversal r and m< 3 is 125°. Assume that p is parallel to q. Find the measurements of all the other angles.