Question

are the polygons below similar?
(image of two quadrilaterals with labeled sides and angles: left quadrilateral yz wx with sides yz=6, yx=12, xw=6, wz=4; right quadrilateral f cde with sides fc=12, fe=22, ed=12, dc=6. angles at y and f are marked equal, angles at z and c are marked equal, angles at w and d are marked equal, angles at x and e are marked equal. below the image: two radio buttons labeled yes and no)

Explanation:

Step1: Check Corresponding Angles

The marked angles (congruent angle symbols) suggest corresponding angles are equal. Now check side ratios.

Step2: Calculate Side Ratios

For the first polygon (ZY WX) and second (FCDE):

• Ratio of ZY to FC: $\frac{6}{12} = \frac{1}{2}$
• Ratio of YX to FE: $\frac{12}{22} = \frac{6}{11}$
• Ratio of XW to ED: $\frac{6}{12} = \frac{1}{2}$
• Ratio of WZ to DC: $\frac{4}{6} = \frac{2}{3}$

Since the ratios of corresponding sides are not equal, the polygons are not similar.

Answer:

no