Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x - 5y = 12. Now let's look at some examples that use these ideas to find lines that are either parallel or perpendicular to a given line passing through a specific point.18. DEVELOPING FLOW PROOF Fill in the lettered blanks to complete the proof of part of Theorem 3.3. Because the lines are perpendicular, they intersect to form a right angle. Call that L 1. j L k, L 1 and L 2 are a linear pair. GIVEN L 2 is a right angle. PROVE L 2 is a right L. Zl and are a linear pair. Given Linear Pair Postulate mZ1 + mZ2 = 1800 900 + mZ2 = j Lk Given Ll is a right L. Def. of L lines mZ1 = 900 1800

9. Look at the figure below and describe the connection between line t and plane ABC. a. Name a pair of parallel planes. b. Name a pair of skew lines. c. Name a pair of parallel lines. d. Name a ray. X Y G H B C A D E F t J The answer is Line segment BD≅ Line segment BD . This is because the Reflexive Property states that a = a, or that a line segment is congruent to itself. When filling in blanks for proofs, it's always a good idea to look at what comes after the blank. In this case, since we are looking for statement #3, let's check statement #4.

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