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How are parallel lines used in real life?
Parallel line examples in real life are railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc.
What are some real life examples of parallel lines and Transversals?
1 Answer
- (i) Zebra crossing on the road.
- (ii) Railway tracks with sleepers.
- (iii) Steps.
- (iv) Parallel bars in men’s gymnastics.
What is the purpose of parallel lines?
Parallel lines are lines that are lying on the same plane but will never meet. Understanding what parallel lines are can help us find missing angles, solve for unknown values, and even learn what they represent in coordinate geometry.
What is the importance of parallel line cut by transversal in your life?
Parallel lines and transversals are very important to the study of geometry because they enable us to define congruent angle pair relationships.
What are the angles formed by a transversal and parallel lines?
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
When parallel lines are cut by a transversal corresponding angles are?
congruent
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
What are vertical angles on a transversal?
When a transversal line crosses a pair of parallel lines, you’ll find many pairs of supplementary angles, or angles that add to 180 degrees. Angles directly opposite each other, called vertical angles, are congruent.
What do vertical angles add up to?
Vertical angles are angles that are opposite each other when two lines intersect each other. The two pairs of opposite angles are equal to each other. The two pairs of neighboring angles are supplementary, meaning they add up to 180 degrees.
What are alternating angles and transversals?
Alternating angles are pairs of angles in which both angles are either interior or exterior. They appear on opposite sides of the transversal and are congruent. Transversals are lines that intersect two parallel lines at an angle. You can also construct a transversal of parallel lines and identify all eight angles the transversal forms.
How do you find corresponding angles between two parallel lines?
The two parallel lines are creating corresponding angles. To be corresponding angles: Notice that ∠Q is congruent to ∠V. ∠Q is an exterior angle on the left side of transversal OW, and ∠V is an interior angle on the same side of the transversal line.
What is the converse of corresponding angles?
Corresponding Angles. The Corresponding Angles Postulate states that parallel lines cut by a transversal yield congruent corresponding angles. We want the converse of that, or the same idea the other way around: If a transversal cuts across two lines to form two congruent, corresponding angles, then the two lines are parallel.
What happens when two lines are parallel and cut by a transversal?
In the video below, you’ll discover that if two lines are parallel and are cut by a transversal, then all pairs of corresponding angles are congruent (i.e., same measure), all pairs of alternate exterior angles are congruent, all pairs of alternate interior angles are congruent, and same side interior angles are supplementary!