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What is a negative scale factor?
A negative scale factor is used to produce the image on the other side of the centre of enlargement (scaled to the absolute value of the scale factor).
A dilation is an enlargement if the scale factor is?
greater then 1
How do you enlarge a shape using a scale factore of 0.5?
When a shape is enlarged, the scale factor tells by how much to multiply each length of the original shape to get the corresponding length on the new shape. So with a scale factor for 0.5 (or 1/2), each length of the new shape is 0.5 (or 1/2) times the lengths of the original shape. For example, to enlarge a triangle with sides 6", 8", 10" by a scale factor or 0.5, the lengths become 6" x 0.5 = 3", 8" x 0.5 = 4", 10" x 0.5 = 5"; so the resulting triangle has sides 3", 4", 5". To do the enlargement through a centre of enlargement, a straight line is drawn from each point (vertex) of the shape to the centre of enlargement. The distance from the centre to the point is measured and multiplied by the scale factor; this new distance is measured along the same line from the centre of enlargement as the original point. In this case, negative scale factors can be given, in which case the new distance is measured in the opposite direction from the centre of enlargement, away from the original point.
Sometimes a dilation is an enlargement and sometimes it is a reduction. Explain what types of numbers for scale factors causes each.?
A scale factor whose absolute value is greater than one is an enlargement whereas if the absolute value is less than 1 it is a reduction.
A triangle with a vertex at A(4 -8) is dilated so that A' has coordinates (-3 6). The scale factor used was?
It depends where the centre of enlargement (dilation) was; it can be any value.As all you have given us is the change in the coordinate of the A vertex, so all we can conclude is that the centre of enlargement is somewhere along the line y + 2x = 0.Examples:If the centre is at (3, -6) then the scale factor is -6If the centre is at (0.5, -1) then the scale factor is -1If the centre is at (0, 0) then the scale factor is -3/4If the centre is at (-3, 6) then the scale factor is 0If the centre is at (-4, 8) then the scale factor is 1/8If the centre is at (-10, 20) then the scale factor is 1/2If the centre is at (11, -22) then the scale factor is 2If the centre is at (1.4, -2.8) then the scale factor is 6(As the centre tends towards ±∞ the scale factor tends towards 1 [from below towards -∞, from above towards +∞].)
