Exam 3: Parallel Lines

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For coplanar lines r, s, and t, if r ⊥ t and s ⊥ t, then r || s.

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When two parallel lines are cut by a transversal, When two parallel lines are cut by a transversal,   and   are a pair of corresponding angles that are formed. If      and     , find x . and When two parallel lines are cut by a transversal,   and   are a pair of corresponding angles that are formed. If      and     , find x . are a pair of corresponding angles that are formed. If   When two parallel lines are cut by a transversal,   and   are a pair of corresponding angles that are formed. If      and     , find x .  and   When two parallel lines are cut by a transversal,   and   are a pair of corresponding angles that are formed. If      and     , find x . , find x .

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Find the sum of the interior angles for an octagon.

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Of the upper case letters R, S, and T, which one has point symmetry?

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Given line l, how many lines in space can be drawn parallel to l?

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Assuming that statements (1)and (2)are true, which conclusion completes the Law of Negative Inference? (1)P Assuming that statements (1)and (2)are true, which conclusion completes the Law of Negative Inference? (1)P   Q (2)∼ Q Q (2)∼ Q

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If two lines in space do not meet, they must be parallel.

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The upper case H has point symmetry.

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Write the first statement of the indirect proof for this statement:"If coplanar lines l and m are not perpendicular to the same line t, then l and m are not parallel."

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For lines l, m, and n to be parallel by pairs, the three lines must be coplanar lines.

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Given the coplanar lines and the fact that Given the coplanar lines and the fact that   , which lines must be parallel? , which lines must be parallel?

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When lines a and b are cut by transversal d , When lines a and b are cut by transversal d ,   and   are a pair of alternate exterior angles that are formed. If   and   , find x . and When lines a and b are cut by transversal d ,   and   are a pair of alternate exterior angles that are formed. If   and   , find x . are a pair of alternate exterior angles that are formed. If When lines a and b are cut by transversal d ,   and   are a pair of alternate exterior angles that are formed. If   and   , find x . and When lines a and b are cut by transversal d ,   and   are a pair of alternate exterior angles that are formed. If   and   , find x . , find x .

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It is possible for a triangle to be both isosceles and obtuse.

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As shown, As shown,   must be an isosceles triangle. must be an isosceles triangle.

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Through a point not on a given line, there is exactly one line parallel to the given line.

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In In   ,     ,   , and   . find   . ,   In   ,     ,   , and   . find   . , In   ,     ,   , and   . find   . , and In   ,     ,   , and   . find   . . find In   ,     ,   , and   . find   . .

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If a triangle has exactly two congruent sides, then it is an isosceles triangle.

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In In   ,   is a right angle. If m   is 26 ° larger than m   , find m   . , In   ,   is a right angle. If m   is 26 ° larger than m   , find m   . is a right angle. If m In   ,   is a right angle. If m   is 26 ° larger than m   , find m   . is 26 ° larger than m In   ,   is a right angle. If m   is 26 ° larger than m   , find m   . , find m In   ,   is a right angle. If m   is 26 ° larger than m   , find m   . .

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The number of diagonals D for a polygon of n sides is given by The number of diagonals D for a polygon of n sides is given by   . Find the number  of sides for a polygon that has 14 diagonals. . Find the number of sides for a polygon that has 14 diagonals.

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Suppose that Suppose that   . Which must be true? . Which must be true?

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