Thank you for visiting Two triangles are congruent and their congruency statement is triangle LMN is congruent to triangle QRS Based on the congruency statement which of the following. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
In congruent triangles, corresponding parts are congruent. Therefore, in triangle lmn congruent to triangle qrs, side lm is congruent to side rs and side ln is congruent to side qs. However, angle l corresponds to angle q and angle n corresponds to angle s.
Explanation:
Based on the congruency statement that triangle lmn is congruent to triangle qrs, we infer that corresponding parts of the congruent triangles are also congruent. This concept is abbreviated as CPCTC (Corresponding Parts of Congruent Triangles are Congruent).
Therefore:
a. Angle l is congruent to angle r. - This is false as per the congruency statement because angle l corresponds to angle q, not r.
b. Side lm is congruent to side rs. - This is true as per the congruency statement as side lm corresponds to side rs.
c. Side ln is congruent to side qs. - This is also true as per the congruency statement as side ln corresponds to side qs.
d. Angle n is congruent to angle q. - This is false as per the congruency statement because angle n corresponds to angle s, not q.
Learn more about Congruent Triangles here:
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