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If the tan of angle x is 22 over 5 and the triangle was dilated to be two times as big as the original what would be the value of the tan of x for the dilated triangle?
The value of tan x would not change.
What is the transformation of C(9 3) when dilated by a scale factor of 3 using the origin as the center of dilation?
It is (27, 9).
If the diameter of a circle is dilated by a scale factor of 0.6 what will be the effect on the circles circumference?
When a circle's diameter is dilated by a scale factor of 0.6, the new diameter will be 0.6 times the original diameter. Since the circumference of a circle is directly proportional to its diameter by the formula C = πd, where C is the circumference and d is the diameter, the new circumference will also be 0.6 times the original circumference. Therefore, the effect of dilating the diameter by a scale factor of 0.6 will be a decrease in the circle's circumference by 40%.
What is the transformation of B(2 4) when dilated with a scale factor of ½ using the point (4 6) as the center of dilation?
When doing enlargements through a centre, the new position of any point is the distance of that point from the centre multiplied by the scale factor; it is easiest to treat the x- and y- coordinates separately.To enlarge (2, 4) by a scale factor of ½ with (4, 6) as the centre of enlargement:x: distance is (4 - 2) = 2 → new distance is 2 × ½ = 1 → new x is 2 + 1 = 3y: distance is (6 - 4) = 2 → new distance is 2 × ½ = 1 → new y is 4 + 1 = 5→ (2, 4) when enlarged by a scale factor of ½ with a centre of (4, 6) transforms to (3, 5).
