Point z is equidistant from the vertices of δtuv.

point z is equidistant from the vertices of triangle t u v. lines are drawn from point z to the sides of the triangle to form right angles and line segments z a, z b, and z c.
which must be true?

a. line segment t a is-congruent-to line segment t b
b. line segment a z is-congruent-to line segment b z
c. anglebtz is-congruent-to anglebuz
d. angletza is-congruent-to angletzb

option C. Angle BTZ Is-congruent-to Angle BUZ

Step-by-step explanation:

Point Z is equidistant from the vertices of triangle T U V

So, ZT = ZU = ZV

When ZT = ZU  ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ

When ZT = ZV  ∴  ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT

When ZU = ZV  ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU

From the figure ∠BTZ is the same as ∠UTZ

And ∠BUZ is the same as ∠TUZ

So, the statement that must be true is option C

C.Angle BTZ Is-congruent-to Angle BUZ

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate