Search results
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.
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 ...
Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. Corresponding Angles Theorem. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. b. Alternate Altern Interior Angles Theorem.
Utilizing Parallel Lines in Proofs Reasons 1) Given 2) Given 3) If parallel lines cut by transversal, then altemate angles are conguent 4) Transitive property 5) If base angles are congruent, then triangle is isosceles AEK BED 1) 2) 5) ABE is isosceles BED EBA BAE BAE or Recognizing the altemate interior angles... Example: Given: Prove: Circle E
The five main ways to prove lines are parallel are: 1) Corresponding angles are congruent 2) Alternate interior angles are congruent 3) Alternate exterior angles are congruent 4) Same-side interior angles are supplementary 5) Two lines perpendicular to the same line are parallel
