A rectangular traffic sign is 18 inches wide and 8 inches tall. A rectangular yard sign is 27 inches wide and 10 inches tall. Are the two signs similar? Explain.
help me, please!!!!!!
18/8 = (18/2)/(8/2) = 9 / 4
27/10 = 9 / 3.333333333333333333333333333
nope
is that right
To determine if the two signs are similar, we need to compare their corresponding sides. Similarity means that the corresponding sides of two shapes are proportional, which means that the ratios of their corresponding side lengths are equal.
Let's compare the widths of the two signs:
Width of the traffic sign = 18 inches
Width of the yard sign = 27 inches
To compare the widths, we can divide the width of one sign by the width of the other sign:
Width ratio = Width of traffic sign / Width of yard sign = 18 inches / 27 inches
Now let's compare the heights of the two signs:
Height of the traffic sign = 8 inches
Height of the yard sign = 10 inches
To compare the heights, we can divide the height of one sign by the height of the other sign:
Height ratio = Height of traffic sign / Height of yard sign = 8 inches / 10 inches
If the ratios of the corresponding side lengths are equal, then the two signs are similar.
Let's compare the ratios:
Width ratio = 18 inches / 27 inches = 2/3
Height ratio = 8 inches / 10 inches = 4/5
Since the width ratio (2/3) is not the same as the height ratio (4/5), the two signs are not similar.