True or false. the locus of points idea can be used to define straight lines, circles, and even more complex shapes such as parabolas

True. True. True. True. True. True.

The given statement is TRUE.

Step-by-step explanation:

The locus of points idea can be used to define straight lines, circles, and even more complex shapes such as parabolas - this is true.

Parabolas can also be defined using locus points.

A locus can be defined as a set of all points forming a curve or straight line and satisfying some conditions. The parabola is the locus of a point that is always at equal distance from a fixed point while the curve moves.

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.