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Question 374827: 1. If two lines are cut by a transversal, the corresponding angles are equal in measure.
always
sometimes
never
2. If two lines are cut by a transversal, the corresponding angles are equal in measure.
always
sometimes
never
3. Two lines parallel to the same plane are parallel to each other.
always
sometimes
never
4. Perpendicular lines intersect to form right angles.
always
sometimes
never
5. Two lines that do not intersect are parallel.
always
sometimes
never
6. When two lines are cut by a transversal, if the alternate interior angles are equal in measure, then the lines are parallel.
always
sometimes
never
7. Two adjacent angles whose exterior sides are opposite rays are complementary.
always
sometimes
never
8. Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is
9
18
35
71
9. Through a point not on a line, one and only one line can be drawn parallel to the given line.
always
sometimes
never
10. Two coplanar lines that are perpendicular to the same line are parallel.
always
sometimes
never
Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website! (answer can depends on the dimension, plane or spatial geometry)
1. If two lines are cut by a transversal, the corresponding angles are equal in measure.
sometimes (plane & spatial)
2. If two lines are cut by a transversal, the corresponding angles are equal in measure.
sometimes
3. Two lines parallel to the same plane are parallel to each other.
sometimes (plane & spatial)
4. Perpendicular lines intersect to form right angles.
always in plane geometry, sometimes in spatial geometry
5. Two lines that do not intersect are parallel.
always in plane geometry, sometimes in spatial geometry
6. When two lines are cut by a transversal, if the alternate interior angles are equal in measure, then the lines are parallel.
always in plane geometry, sometimes in spatial geometry
7. Two adjacent angles whose exterior sides are opposite rays are complementary.
never (plane and spatial)
8. Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is
18
9. Through a point not on a line, one and only one line can be drawn parallel to the given line.
always in plane geometry, in spatial geometry could depend on the definition adopted from plane to spatial of parallel (If parallels are line that never crosses, the answer is "no" in spatial geometry)
10. Two coplanar lines that are perpendicular to the same line are parallel.
always in plane geometry, sometimes in spatial geometry
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