How are the angles to be constructed in distinct half plane of a line segment for division of line segment? (A) obtuse (B) acute (c)right (d) A OR B
To construct angles in distinct half planes of a line segment for the division of a line segment, it is important to understand what these terms mean. Half planes are the divisions of the plane formed by a line, while obtuse, acute, and right angles refer to the measures of the angles.
Here's how you can construct angles in distinct half planes of a line segment for the division of a line segment:
1. Begin by drawing a line segment.
2. Choose a point on the line segment that you want to divide.
3. To construct an obtuse angle in a distinct half plane, draw a line that extends from the chosen point on the line segment. Ensure this line is outside the existing line segment and forms an angle greater than 90 degrees.
4. To construct an acute angle in a distinct half plane, draw a line that extends from the chosen point on the line segment. Ensure this line is outside the existing line segment and forms an angle less than 90 degrees.
5. To construct a right angle in a distinct half plane, draw a line that extends perpendicularly from the chosen point on the line segment. This line should intersect the existing line segment at a 90-degree angle.
Therefore, the answer is (d) A or B since you can construct both an obtuse angle (A) and an acute angle (B) in distinct half planes of a line segment for division.