Any three distinct coplanar points are collinear.
Always true
Sometimes True
Never True
Supplementary angles are linear pairs
Always True
Sometimes True
Never True
Any two complementary angles are adjacent angles
Always True
Sometimes True
Never True
Vertical angles are supplementary.
Always True
Sometimes True
Never True
*my answer to all of it is "sometimes true*
that kinda feel strange
ANY ?? two complementary............
sometimes?
you are correct in all cases
thanks you all
You are correct to choose "Sometimes True" as the answer for all of the statements. Let me explain why this is the case for each statement:
1. Any three distinct coplanar points are collinear:
This statement is sometimes true. In Euclidean geometry, collinear points are points that lie on the same straight line. If you choose three random points on a plane, they may or may not lie on the same line. So, in some cases, three points may be collinear, while in other cases they may not be.
2. Supplementary angles are linear pairs:
This statement is always true. Supplementary angles are two angles that add up to 180 degrees. A linear pair consists of two adjacent angles that form a straight line, totaling 180 degrees. Therefore, any pair of supplementary angles will be a linear pair.
3. Any two complementary angles are adjacent angles:
This statement is sometimes true. Complementary angles are two angles that add up to 90 degrees. Adjacent angles are angles that share a common vertex and a common side, but do not overlap. While it is true that two complementary angles could be adjacent (such as in a right angle), they may also be separated by other angles, making them non-adjacent.
4. Vertical angles are supplementary:
This statement is always true. Vertical angles are formed by a pair of intersecting lines. They are opposite angles and their measures are equal. Since opposite angles formed by intersecting lines always add up to 180 degrees, vertical angles are always supplementary.
It is not strange that "Sometimes True" is the answer for all the statements. In mathematics and geometry, statements can have different outcomes depending on the specific conditions or configurations involved. It is important to consider all possibilities and situations when evaluating such statements.