Observe the given figures and name the criterion of similarity.(A) AAA

1.	Observe the given figures and name the criterion of similarity.(A) AAA (B) ASA (C) SAS (D) No similarity
Answer» Correct option is (D) No similarity Given that : In \(\triangle PQR,\) PQ = 6, QR = 10 & \(\angle PQR=90^\circ\) & In \(\triangle LMN,\) LM = 3, MN = 4 & \(\angle LMN=90^\circ\) \(\because\) \(\frac{PQ}{LM}=\frac63=\frac21\) & \(\frac{QR}{MN}=\frac{10}4=2.5\) \(\because2\neq2.5\) \(\therefore\) \(\frac{PQ}{LM}\neq\frac{QR}{MN}\) \(\therefore\) \(\triangle PQR\) is not similar to \(\triangle LMN.\) Hence, there is no similarity between both triangles. Correct option is: (D) No similarity

Observe the given figures and name the criterion of similarity.(A) AAA (B) ASA (C) SAS (D) No similarity

Answer»

Correct option is (D) No similarity

Given that : In \(\triangle PQR,\) PQ = 6, QR = 10 & \(\angle PQR=90^\circ\)

& In \(\triangle LMN,\) LM = 3, MN = 4 & \(\angle LMN=90^\circ\)

\(\because\) \(\frac{PQ}{LM}=\frac63=\frac21\)

& \(\frac{QR}{MN}=\frac{10}4=2.5\)

\(\because2\neq2.5\)

\(\therefore\) \(\frac{PQ}{LM}\neq\frac{QR}{MN}\)

\(\therefore\) \(\triangle PQR\) is not similar to \(\triangle LMN.\)

Hence, there is no similarity between both triangles.

Correct option is: (D) No similarity