Which of the following would be a line of reflection that would map ABCD onto itself?

x+y= 4

Step-by-step explanation:

Fro the graph , it can be seen that ABCD is a square.

A square can be reflected onto itself across its diagonals.

So, we need to find the equation of the diagonal AC.

This diagonal passes through the points A(3,1) and C(1,3).

Equation of a line passes through (a,b) and has slope 'm" is given by

(y-b)=m(x-a)

Slope of line AC:   [Slope = ]

Then, Equation of AC:

Hence, x+y =4 be a line of reflection that would map ABCD onto itself.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐