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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.
- Proofs with Parallel Lines
3.3 Proofs with Parallel Lines EXPLORE IT Work with a...
- Proofs with Parallel Lines
3.3 Proofs with Parallel Lines EXPLORE IT Work with a partner. Write the converse of each conditional statement. Determine whether the converse is true. Justify your conclusion. a. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 2 3 6 8 7 5 b. Alternate ...
lines are parallel. Use properties of parallel lines to solve real-life problems, such as proving that prehistoric mounds are parallel in Ex. 19. Properties of parallel lines help you predict the paths of boats sailing into the wind, as in Example 4. Why you should learn it GOAL 2 GOAL 1 What you should learn 3.4 R E A L L I F E POSTULATE 16 ...
Here are some examples of pairs of lines in a coordinate plane. a. 2 x + y = 2 These lines are not parallel b. 2 x + y = 2 These lines are coincident x − y = 4 or perpendicular.
Parallel Line Postulate: If 2 parallel lines are cut by a transversal, then their coresponding angles are congruent. A simple sketch can show the parallel line postulate. note: moving each point the same distance and direction will produce a parallel line (and a coresponding angle) Proof of parallel lines/alt. interior angles: IV.
9-1 PROVING LINES PARALLEL. You have already studied many situations involving intersecting lines that lie in the same plane. When all the points or lines in a set lie in a plane, we say that these points or these lines are coplanar.
Geometry Unit 3 - Reasoning & Proofs w/Congruent Triangles Page 167 For # 1-3, given a ‖ b, state the postulate or theorem that justifies each conclusion. 1.
