Point Z is equidistant from the vertices of Î"TUV. 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? Line segment T A is-congruent-to line segment T B Line segment A Z is-congruent-to line segment B Z AngleBTZ Is-congruent-to AngleBUZ AngleTZA Is-congruent-to AngleTZB.

i am not sure :

step-by-step explanation:

it is only things thain can be deafeated

step-by-step explanation:

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen