Proof for Validity of Construction of a Perpendicular Bisector

Q. Which congruency rule(s) is/are used to prove the construction of a perpendicular bisector?

1. SAS
2. SSS
3. RHS
4. ASS

Q.

In the given figure,

a) What is AE + EC?

b) What is AC - EC?

c) What is BD - BE?

d) What is BD - DE?

Q. State whether the following statement is True or False.
Line-segment $AB$ is parallel to another line-segment $CD.O$ is the mid-point of $AD$. Then $△AOB\cong △DOC$

1. True
2. False

Q.

In the below-shown figure if AP=BP, AQ=BQ, then can we say that AM=BM?

1. True

2. False

Q.

A perpendicular bisector of ​​​​​​a line segment ___.

1. passes through the midpoint of the line segment

2. bisects the given line segment

3. is perpendicular to the given line segment

4. is perpendicular and bisects the line segment

Q.

A perpendicular bisector of ​​​​​​a line segment ___.

1. passes through the midpoint of the line segment

2. bisects the given line segment

3. is perpendicular to the given line segment

4. is perpendicular and bisects the line segment