To show that side ST is perpendicular to side BD.
Explanation of Solution
Given information:
A, B, C and D lie in plane m .
D is any point on
Formula used:
The below properties are used:
If a segment divides a segment into two congruent segments, it is a bisector.
A point on a perpendicular bisector of a segment is equal to distance from ends of the segments.
Two
Two
A point equal distance from endpoints of a segment is on the perpendicular bisector of the segment.
Proof:
It is given that,
If a segment divides a segment into two congruent segments, it is a bisector.
A point on a perpendicular bisector of a segment is equal to distance from ends of the segments.
By reflexive property, we get
By SSS congruence rule, we get
As corresponding parts of congruent triangles are congruent, we get
By reflexive property, we get
By SAS congruence rule, we get
As corresponding parts of congruent triangles are congruent, we get
A point equal distance from endpoints of a segment is on the perpendicular bisector of the segment.
According to definition of perpendicular bisector
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