Question

determine whether the triangles are similar by aa~, sss~, sas~, or not similar.

Explanation:

Step1: Calculate the ratios of corresponding sides

For the two triangles, we have the ratios:

• $\frac{48}{60}=\frac{4}{5}$
• $\frac{56}{70}=\frac{4}{5}$

Step2: Check the included angles

Since $\angle QNX$ and $\angle YNZ$ are vertical angles, they are equal.

Step3: Apply the SAS~ similarity criterion

We have two sides in proportion ($\frac{48}{60}=\frac{56}{70}$) and the included angles equal (vertical angles).

Answer:

SAS~