1. Non-collinear points are noncoplanar.
Always True
Sometimes True (my ans)
Never True
2. Linear Pairs are Supplementary
True (my ans)
False
6. Complementary angles are adjacent angles.
True
False (my ans)
5. Transversal line crosses the parallel lines at right angle.
Always True
Sometimes True (my ans)
Never True
3. In a plane, 2 lines are either parallel or perpendicular.
True
False (my ans)
2. Non-intersecting lines are skew lines.
Always True
Sometimes True (my ans)
Never True
So you just need your answers checked right?
I'm so sorry @Yes, I'm desperate, help me :) I've never had this test so I don't think I can help you :( I wish you good luck though.
all look good
thanks oobleck
1. Non-collinear points are noncoplanar. Answer: Sometimes True.
To determine the answer, we need to understand the definitions of collinear and coplanar points. Collinear points are points that lie on the same straight line, while coplanar points are points that lie on the same plane.
If we have three points that are not on the same line, they are considered non-collinear. In this case, they can either be coplanar or noncoplanar depending on whether they lie on the same plane or not. So, non-collinear points can be noncoplanar (Sometimes True) if they do not lie on the same plane, but they can also be coplanar if they happen to lie on the same plane.
2. Linear Pairs are Supplementary. Answer: True.
To determine the answer, we need to understand the definition of linear pair and supplementary angles. A linear pair consists of two adjacent angles that share a common side and their non-common sides form a straight line. Supplementary angles are a pair of angles whose sum is 180 degrees.
Since a linear pair forms a straight line, the sum of the measures of its angles will always be 180 degrees, which meets the definition of supplementary angles. Therefore, it is true that linear pairs are supplementary.
3. Complementary angles are adjacent angles. Answer: False.
To determine the answer, we need to understand the definition of complementary angles. Complementary angles are a pair of angles whose sum is 90 degrees. Adjacent angles are angles that share a common side and vertex but do not overlap.
Complementary angles can be adjacent, but they can also be non-adjacent. For example, two angles that add up to 90 degrees can be separated by other angles or segments. So, it is false to say that complementary angles are always adjacent angles.
4. Transversal line crosses the parallel lines at right angles. Answer: Sometimes True.
To determine the answer, we need to understand the definition of a transversal line and parallel lines. A transversal line is a line that intersects two or more other lines at distinct points. Parallel lines are lines that lie in the same plane and do not intersect.
A transversal line does not always cross parallel lines at right angles. It can intersect parallel lines at various angles, such as acute angles, obtuse angles, or right angles. So, it is sometimes true that a transversal line crosses parallel lines at right angles, depending on the position and angle of the transversal line.
5. In a plane, 2 lines are either parallel or perpendicular. Answer: False.
To determine the answer, we need to understand the possible relationships between two lines in a plane. Two lines in a plane can be parallel, perpendicular, or neither.
Parallel lines are lines that lie in the same plane and do not intersect. Perpendicular lines are lines that intersect at a 90-degree angle. However, it is possible for two lines in a plane to be neither parallel nor perpendicular. They can intersect at any angle other than 90 degrees, making it false that two lines in a plane are either parallel or perpendicular.
6. Non-intersecting lines are skew lines. Answer: Sometimes True.
To determine the answer, we need to understand the definition of non-intersecting lines and skew lines. Non-intersecting lines are lines that do not intersect, meaning they do not cross or share a common point. Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting.
If two lines are non-intersecting and lie in the same plane, they are parallel lines, not skew lines. However, if two lines are non-intersecting and do not lie in the same plane, then they are skew lines. So, it is sometimes true that non-intersecting lines are skew lines, depending on whether they lie in the same plane or not.