Line segment st is congruent to line segment

answer:

(c) st≅ut.

step-by-step explanation:

from the figure, sk, rk and ku are the radii of the given circle and then angle made by the tangent on the cicle is 90° that is ∠kst=∠kut=90° then,

consider δskt and δukt,

sk=ku (radii of the circle)

∠kst=∠kut (each 90°)

kt=kt (common)

thus, by sas rule of congruency,

δskt≅δukt

therefore, by cpctc, st≅ut.

thus, the correct option is c.

step 1 is commutative property of addition

step 2 is commutative property of multiplication

step 3 is distributive property