determine whether the triangles are similar by aa-, sss-, sas-, or not similar.
determine whether the triangles are similar by aa-, sss-, sas-, or not similar.
Answer
Explanation:
Step1: Check vertical angles
Vertical angles are equal. So, (\angle QNR=\angle MN L)
Step2: Calculate the ratios of the sides
(\frac{QN}{LN}=\frac{54}{70}=\frac{27}{35}), (\frac{RN}{MN}=\frac{45}{63}=\frac{5}{7}=\frac{25}{35}) Since (\frac{QN}{LN}\neq\frac{RN}{MN}), the SAS similarity criterion (which requires the ratio of two sides and the included angle to be equal) is not satisfied.
Answer:
not similar