The following points are dilated at a center at point C by each of the following scale factors. Plot and label the image points.

(a) A is dilated by a scale factor of 3.
(b) B is dilated by a scale factor of 2.
(b)D is dilated by a scale factor of 1 1/3
(d) E is dilated by a scale factor of 0.5.

(a) A is dilated by a scale factor of 3.

Step-by-step explanation:

where the imagine

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.