CBSE Class 9 > Class 9 Videos > Construction of Angle Bisector: Perpendicular Bisector
Construction of Angle Bisector Perpendicular Bisector Video Lecture - Class
FAQs on Construction of Angle Bisector: Perpendicular Bisector
| 1. What is an angle bisector? |  |
Ans. An angle bisector is a line or ray that divides an angle into two equal parts. It passes through the vertex of the angle and divides it into two congruent angles.
| 2. How do you construct an angle bisector? | |
Ans. To construct an angle bisector, follow these steps: Step 1: Draw the given angle using a ruler and a protractor. Step 2: Place the point of the compass at the vertex of the angle and draw an arc that intersects both arms of the angle. Step 3: Without changing the compass width, place the point of the compass on each of the intersections made in step 2 and draw two arcs that intersect each other. Step 4: Draw a straight line connecting the vertex of the angle to the intersection of the two arcs. This line is the angle bisector.
| 3. What is a perpendicular bisector? | |
Ans. A perpendicular bisector is a line or line segment that divides another line segment into two equal parts and is perpendicular to that line segment. It passes through the midpoint of the line segment.
| 4. How do you construct a perpendicular bisector? | |
Ans. To construct a perpendicular bisector, follow these steps: Step 1: Draw the given line segment using a ruler. Step 2: Place the point of the compass at one end of the line segment and draw an arc that intersects the line segment. Step 3: Without changing the compass width, place the point of the compass at the other end of the line segment and draw another arc that intersects the first arc. Step 4: Draw a straight line connecting the two points where the arcs intersect. This line is the perpendicular bisector of the given line segment.
| 5. What is the relationship between angle bisectors and perpendicular bisectors? | |
Ans. Angle bisectors and perpendicular bisectors are both types of lines that divide other lines or angles into equal parts. However, they have different properties and purposes. An angle bisector divides an angle into two equal parts, while a perpendicular bisector divides a line segment into two equal parts and is perpendicular to that line segment.
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