Question

are the polygons below similar?
triangle-like quadrilateral uvwx with sides: uv=18, ux=29, wx=18, vw=11, and angles marked at u, v, w, x. trapezoid pqrs with sides: pq=4, qr=6, rs=10, sp=6, and angles marked at p, q, r, s. options: yes, no

Explanation:

Step1: Check polygon side counts

First polygon (UVWX) has 4 sides; second (PQRS) has 4 sides.

Step2: Verify corresponding angles

Marked angles show all corresponding angles are congruent.

Step3: Check side length ratios

Calculate ratios of corresponding sides:
$\frac{UV}{PQ} = \frac{18}{4} = 4.5$, $\frac{VW}{QR} = \frac{11}{6} \approx 1.83$, $\frac{WX}{RS} = \frac{18}{10} = 1.8$, $\frac{XU}{SP} = \frac{29}{6} \approx 4.83$
Corresponding side ratios are not equal.

Answer:

no