Question

bonus question!!! polygon a has side lengths 3, 4.2, 2.6, and 7 units. polygon b is a scaled copy of polygon a with a scale factor of 3. which side lengths could be the side lengths of polygon b? 2 answers are possible side lengths. the other 2 answers are not possible side lengths. side length of polygon b not a side length of polygon b add an answer item! add an answer item! answer bank 21 units 12 units 12.6 units 8.4 units

Explanation:

Step1: Multiply side - lengths of Polygon A by scale factor

When a polygon is scaled by a factor \(k\), the new side - lengths are obtained by multiplying the original side - lengths by \(k\). Here \(k = 3\).
For the side - length of 3 units in Polygon A, the new side - length is \(3\times3=9\) units.
For the side - length of 4.2 units in Polygon A, the new side - length is \(4.2\times3 = 12.6\) units.
For the side - length of 2.6 units in Polygon A, the new side - length is \(2.6\times3=7.8\) units.
For the side - length of 7 units in Polygon A, the new side - length is \(7\times3 = 21\) units.

Answer:

side length of Polygon B: 21 units, 12.6 units
not a side length of Polygon B: 12 units, 8.4 units