Allison claims that the abq is similar to rpq, given that ab and pr are parallel. which of allison's claims supporting her argument are correct? select all that apply. 1 = 2 because they are vertically opposite angles. abq = qpr because they are corresponding angles. 1 = 2 because they are alternate interior angles. baq = qrp because they are alternate interior angles. abq and rpq are not similar by aa similarity.

The two triangles are shown in the picture attached.

Let's see the important definitions you find in your options:
- alternate interior angles are found when two parallel lines are crossed by a transversal, and they are inside the two lines on opposite sides of the transversal;
- vertically opposite angles are found when two lines cross and they are the ones facing each other;
- corresponding angles are found when two parallel lines are crossed by a transversal, and they are on matching corners.

Looking at the picture we can say that:
a) 1 and 2 are vertically opposite angles;
b) ABQ and QPR are alternate interior angles;
c) BAQ and QRP are alternate interior angles.

Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. 
BAQ = QRP because they are alternate interior angles. 

According to the AA similarity theorem, if two angles of a triangle are congruent to two angles of an other triangle, then the two triangles are similar. Therefore, Allison is right.