Question

Name two similar triangles shown in the figure. explain why the triangles are similar

Answer 1

The two similar triangles are triangle BXY and triangle BAC. Since line XY is parallel to segment AC, angle BXY is congruent to angle A, and angle BYX is congruent to angle C. Since two corresponding angles are congruent, we use one of our similarity conjectures, Angle-Angle, to show these triangles are congruent.
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