Question

are these shapes similar? yes no submit work it out not feeling ready yet? these can help: name, measure, and classify angles find the constant of proportionality from a table lesson: similarity lines, line segments, and rays do the ratios form a proportion? lesson: congruence

Explanation:

Step1: Check the angles

Both shapes are rectangles (all angles are \(90^{\circ}\)).

Step2: Check the side - length ratios

For the first rectangle (square), side - lengths are \(34\) ft. For the second rectangle, side - lengths are \(42\) ft. The ratio of corresponding sides is \(\frac{34}{42}=\frac{17}{21}\). Since all sides of a square are equal and all sides of the other rectangle are equal, but \(\frac{34}{42}
eq1\) (they are not congruent) and for similarity of polygons (rectangles in this case), the ratio of corresponding sides must be equal. Here, if we consider the ratio of one pair of corresponding sides \(\frac{34}{42}\) and since all sides of the first shape are \(34\) and all sides of the second shape are \(42\), the ratio of any pair of corresponding sides is \(\frac{34}{42}\).

Answer:

no