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17 Parallel Lines Examples in Real Life. Two or more lines lying in the same plane that tend to meet each other at infinity are known as parallel lines. In other words, two or more lines are said to be parallel lines if they do not intersect each other or do not meet each other at any point. Properties of Parallel Lines.
Proving Theorems about Parallel Lines Solving Real-Life Problems EXAMPLE 4 Proving the Alternate Exterior Angles Theorem Prove that if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. SOLUTION Draw a diagram. Label a pair of alternate 1 3 2 p t q exterior angles as ∠1 and ∠2. You are ...
Essential Question. For which of the theorems involving parallel lines and transversals is the converse true? Exploring Converses. Work with a partner. Write the converse of each conditional statement. Draw a diagram to represent the converse. Determine whether the converse is true. Justify your conclusion.
GOAL 1. Prove that two lines are parallel. re parallel. You can use the following postulate and theorems to p. GOAL 2 Use properties of lines are parallel. parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Why you should learn it. n Exa.
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10 paź 2023 · Real-life examples of parallel lines are everywhere we look. Train tracks and the double yellow lines that separate traffic on the road are two examples. A transversal line that intersects two parallel lines will form four, identical angles.
You can also use converse statements in combination with more complex logical reasoning to prove whether lines are parallel in real life contexts. The following example shows a use of the contrapositive of the Corresponding Angles Postulate.