Answer:
rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal
compare ratios of lengths and widths
rectangles A and B
k = = ← ratio of lengths
k = = ← ratio of widths
scale factors are equivalent, hence rectangle A is a scaled copy of B
rectangles C and B
k = = ← ratio of lengths
k = = ← ratio of width
scale factors (k ) are not equal, hence C is not a scaled copy of B
rectangles A and C
k = = ← ratio of lengths
k = ← ratio of widths
the scale factors are not equal hence A is not a scaled copy of C
Step-by-step explanation:
Answer:
<h2>
k = 31/9</h2><h2>
b = 12</h2>
Step-by-step explanation:
<u>k - 4</u> = 3
9
k/9 = 3(9) + 4
k = 31/9
k = 31/9
<u>8 + b </u> = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
Answer:
True
Step-by-step explanation:
The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write
540 = a + b + c + d + missing angle
540 = a + b + c + d + missing angle
As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar
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