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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.
1. If two lines are cut by a transversal so that alternate interior angles are (congruent, supplementary, complementary), then the lines are parallel. 2. If two lines are cut by a transversal so that same-side interior angles are (congruent, supplementary, complementary), then the lines are parallel. 3. If two lines are cut by a transversal so ...
Example 1 Find the slope of the line shown. Let ( x1, y1 ) ( 2, 2) and ( ) (1, 0). − − x2, y2 = slope y2 − y1. Write formula for slope. = — x2 − x1. 0 ( 2) − −. — 1 ( 2. Substitute.
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 ...
I can prove theorems about identifying parallel lines. EXPLORE IT Determining Whether Converses Are True. Math Practice. Construct Arguments. When the converse of one of the statements is true, what can you conclude about the inverse? inverse? Work with a partner. Write the converse of each conditional statement.
Independent Practice: PROOFS OF PARALLEL LINES NAME: DATE: PERIOD: 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. 1 is supplementary to 8 because given _____ 2.
Essential Question. When two parallel lines are cut by a transversal, which of the resulting pairs of angles are congruent? Exploring Parallel Lines. Work with a partner. Use dynamic geometry software to draw two parallel lines. Draw a third line that intersects both parallel lines. Find the measures of the eight angles that are formed.
