Aconjecture and the paragraph proof used to prove the conjecture are shown. drag an expression or statement to each box to complete the proof. it is given that ∠1≅ ∠4 . by the vertical angle theorem, [blank] ≅∠1 . therefore, ∠2≅∠4 by the substitution property. by the [blank] , ∠4≅∠3 . so, ∠2≅[blank] by the [blank] choices: verticle angle theorim, transitive property of congruence, ∠4, ∠3, ∠2, ∠1

∠2; vertical angle theorem; ∠3; transitive property of congruence

Step-by-step explanation:

∠2 and ∠1 are opposite angles that share only a vertex.  This is the definition of vertical angles, and by the vertical angle theorem they are congruent.

Substituting ∠2 for ∠1 in our "given" statement, we now know that ∠2≅∠4.

∠4 and ∠3 are opposite angles that share a vertex.  This makes them vertical angles, and the vertical angle theorem states that they are congruent.

The transitive property, algebraically, states "if a=b and b=c, then a=c."  Applied to this proof, it states "if ∠2≅∠4, and ∠4≅∠3, then ∠2≅∠3."

I did the quiz here is what I got:

a=r

d=q

c=p

b=s

hope this !

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: