The vertices of right triangle ABC are A(−1, 2), B(3, 2), and C(3, 7). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number. The perimeter of the dilated figure is about units?
+658 When a shape is dilated, all of its side lengths are multiplied by the scale factor.
Original:
AB= 4
BC = 5
AC = \(\sqrt{41}\)
Dilated:
AB = 8
BC = 10
AC = \(2\sqrt{41}\)
Perimeter of dilated: 8 + 10 + \(2\sqrt{41}\) = 30.8062484748656974 = 31 units
