Construction of Perpendicular Bisector of a Line Segment

Q. congruency rule is used to prove the construction of a perpendicular bisector.

1. SSS
2. RHS
3. ASS

Q.

AB is a line segment. With A and B as centres and any radius greater than half of AB, draw arcs on either side of AB so that they meet at X and Y as shown. Join XY

There are the two statements:
Statement 1: AB is the perpendicular bisector of XY
Statement 2: XY is the perpendicular bisector of AB
Choose the correct option from below.

1. Both the statements are true
2. None of the above
3. Only Statement 2 is true
4. Only Statement 1 is true

Q.

If AE = BE, then segment CD segment AB.

1. is perpendicular to
2. bisects
3. is parallel
4. trisects

Q.
In the figure, PM is the perpendicular bisector of the segment AB. If C is some point on PM, then $△ABC$ is triangle.

1. equilateral
2. obtuse
3. right-angled
4. scalene

Q. How many arcs required to draw the perpendicular bisector in Triangle Construction 1?

1. 2
2. 4
3. 1
4. 3

Q. A perpendicular bisector of a line segment can be constructed by drawing arcs of any radius.

1. False
2. True

Q. PQ is the perpendicular bisector of AB. Then which of the following are correct?

1. AP = BP
2. AP = BQ
3. $\angle AOP$ = $\angle BOP$
4. OB = OP

Q.

For which of the following can a perpendicular bisector be drawn?

1. Line

2. Ray

3. None of These

4. Line segment

Q.

Each point on a/an _________ is such that it forms an isosceles triangle with the end points of the given line segment.

1. angular bisector
2. median
3. altitude
4. perpendicular bisector

Q. To construct perpendicular bisector to a line segment AB =10 cm, we have to draw an arc of radius

1. $>5$
2. $<5$
3. $=5$