Let p: a triangle is acute. let q: a triangle is equilateral. if q is true, which statements must be true? check all that apply.
a. p ∨ q
b. p ∧ q
c. p → q
c. q → p
d. q ↔ p

"q is true" is a given statement. So q = T where T stands for T (while F is for false)

If the triangle is equilateral, then all three angles are 60 degrees. So the triangle is also acute. This makes statement p true as well. 

So p and q are both true logical statements. 

That makes p v q true. It's only false if BOTH are false but that's not the case here.

That makes p ∧ q true as well. BOTH statements are true, so the entire thing is true.

p --> q is true as well. This is only false if p were true leading to q being false. Again not the case.

In the other direction, q --> p is also true for similar reasons as the last explanation above.

q <--> p is true because p and q have the same truth value T



In summary, every choice is true.