Properties of Parallel Lines During this lesson, you will discover properties of parallel lines. Mrs. McConaughy1.

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Presentation transcript:

Properties of Parallel Lines During this lesson, you will discover properties of parallel lines. Mrs. McConaughy1

DEFINITION: Parallel Lines Two or more lines are parallel if and only if ______________________. Mrs. McConaughy2

Investigation: Properties of Parallel Lines  Complete the investigation as described on your guided notes sheet.  Do you notice a pattern between the measures of corresponding angles, alternate interior angles, or alternate exterior angles? Mrs. McConaughy3

Investigative Results: Use your investigations to state at least three conjectures. Conjecture: If two parallel lines are cut by a transversal, then the corresponding angles which are formed ____________________. Conversely, _________________________. Mrs. McConaughy4

Investigative Results: Conjecture: If two parallel lines are cut by a transversal, then the alternate interior angles which are formed _______________. Conversely, _________________________. Conjecture: If two parallel lines are cut by a transversal, then the alternate exterior angles which are formed _______________. Conversely, _________________________. Mrs. McConaughy5

Investigative Results: Conjecture: If two parallel lines are cut by a transversal, then the same-side interior angles which are formed _______________. Conversely, _________________________. Mrs. McConaughy6

a b a. Using the figure above, name all angles which are congruent to angle 4, given a // b. _____ _____ _____ b. Using the figure above, name all angles which are congruent to angle 16, given c // d. _____ _____ _____ c. Using the figure above, name all angles which are congruent to angle 1, given a // b and c // d. _____ _____ _____ c d Mrs. McConaughy7

Basic Math Sample: a. m ∠ 1 = ______ REASON: ______________ b. m ∠ 2 = _____ REASON: ______________ Mrs. McConaughy8

Homework Assignment Discovering Properties of Parallel Lines WS 1, 2, 6, and 7. Textbook, pages : 1-7 all, all, 23, 25. Mrs. McConaughy9

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