Question

Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D and E. Line segments A D, D C, C E, and E A are shown."/>.


Use the diagram to complete the statements.

Segment AD must be congruent to segment .blank

Segment BC must be congruent to segment blank

Answer 1

Answer:

Segment AD must be congruent to segment DC.

Segment BC must be congruent to segment AB.

Step-by-step explanation:

Answer 2

Segment AD must be congruent to segment DC

Segment BC must be congruent to segment AB

What is SAS rule of congruency?

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

Given

Line AC and passes through B which is the midpoint of AC

To show that PA=PB

In △DCB and △DAB

AB=BC since B is the mid-point of AC

∠DBA=∠DBC=90 (given)

DB = DB (common)

So,△DCB≅△DAB by SAS rule.

and so AD=DC as they are corresponding sides of congruent triangles.

BC=AB as they are corresponding sides of congruent triangles.

To know more about congruency refer to :

https://brainly.com/question/19975124

#SPJ2