Question

are these shapes similar? yes no

Explanation:

Step1: Recall the definition of similar shapes

Similar shapes have equal corresponding angles and proportional corresponding sides.

Step2: Analyze the angles

Both shapes are rectangles (all angles are \(90^{\circ}\), so corresponding angles are equal).

Step3: Analyze the side - length ratios

For the first rectangle ( \(JKLM\) ), all sides are \(34\) km. For the second rectangle ( \(VWXY\) ), all sides are \(42\) km. The ratio of corresponding sides is \(\frac{34}{42}=\frac{17}{21}\) (simplified). Since all sides of each rectangle are equal and the ratio of their sides is constant.

Answer:

yes