The two triangles are shown in the picture attached.
Let's see the important definitions you find in your options:
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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;
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vertically opposite angles are found when two lines cross and they are the ones facing each other;
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corresponding angles are found <span>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</span> 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:
<span>
1 = 2 because they are vertically opposite angles. BAQ = QRP because they are alternate interior angles. </span>
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.