Plz help Select all the true statements A: dilations always increase the length of line segments. B: Dilations take perpendicular lines to perpendicular lines. C: Dilations of an angle are congruent to the original angle. D: Dilations increase the measure of angles. E: Dilations of a triangle are congruent to the original triangle. F: Dilations of a triangle are similar to the original triangle

Selection of all the true statements:

A: dilations always increase the length of line segments.

B: Dilations take perpendicular lines to perpendicular lines.

C: Dilations of an angle are congruent to the original angle.

F: Dilations of a triangle are similar to the original triangle

Step-by-step explanation:

Dilations are transformations that enlarge or reduce a figure from its original shape and size to another that a bigger or smaller. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.  This also implies that dilations of an angle are congruent to the original angle.

< 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⭐

the answer is 40.

proof: