In the figure above, the triangles are congruent by ASA. Complete the congruence statement. Triangle RPQ is congruent to triangle
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The Deep Dive
Triangle RPQ is congruent to triangle SQT. In congruence statements, the order of the vertices is important, reflecting the corresponding angles and sides. Since you established the congruence using the ASA (Angle-Side-Angle) postulate, it indicates that the angles and the included side are correctly aligned between both triangles. To strengthen your understanding, remember that congruent triangles have exactly the same shape and size. This means not only that corresponding angles are equal, but also that corresponding sides are proportional and congruent. So in any proof or problem involving triangles, always look for shortcuts like ASA to simplify your work!
