Question

which of the following accurately describes the relationship between rectangles hope and salt? a they are congruent; they have equal angle and side measurements. b they are congruent; they are in proportion to each other.

Explanation:

Step1: Check angle - measures

All angles in rectangles are right - angles (90°). So, angles in rectangle HOPE and rectangle SALT are equal.

Step2: Check side - length ratios

For rectangle HOPE with length $l_{1}=10$ in and width $w_{1}=5$ in, and rectangle SALT with length $l_{2}=30$ in and width $w_{2}=15$ in. Calculate the ratios of corresponding sides: $\frac{l_{2}}{l_{1}}=\frac{30}{10} = 3$ and $\frac{w_{2}}{w_{1}}=\frac{15}{5}=3$. The sides are in proportion. But congruent rectangles have equal side - lengths, and these rectangles do not have equal side - lengths.

Answer:

Neither A nor B is correct. The rectangles are similar (sides are in proportion and angles are equal), not congruent. Since the options provided are incorrect based on the above analysis, if we assume this is a multiple - choice with incorrect options, we note that the relationship is that they are similar (sides are in the ratio 3:1 and all angles are 90°).