The ancient Greeks required a straightedge and protractor to construct a perpendicular bisector for a given line segment

False

Step-by-step explanation:

The ancient Greeks had lots of scientists and mathematicians which formulated theory still in use today. They include Archimedes principle, Pythagoras theorem etc.

The ancient Greeks required the use of a straightedge and compass instead of a straightedge and protractor in the construction of a perpendicular bisector for a given line segment.

the answer to the question is a  

it has the same slope and the same y-intercept.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.