Question

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.

Answer 1

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.