Question

Determine if the triangles are similar. Justify your response by showing your work and circle one of the four choices below.

a) AA (Angle-Angle)
b) SAS (Side-Angle-Side)
c) SSS (Side-Side-Side)
d) Not Similar

Answer 1

Triangles BAO and B₁A₁O are similar triangles because they satisfy the AA (Angle-Angle) similarity condition.

Step-by-step explanation:

To determine if two triangles are similar, we need to check if their corresponding angles are congruent and if their corresponding sides are in proportion. In this case, we are given triangles BAO and B₁A₁O. To show that they are similar, we can use the AA (Angle-Angle) similarity condition. This means that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In this case, we can observe that angle BAO is congruent to angle B₁A₁O and angle BAO is congruent to angle B₁A₁O. Therefore, triangles BAO and B₁A₁O satisfy the AA similarity condition and are similar triangles.

Therefore, the correct answer is a) AA (Angle-Angle).