The dashed figure is a dialation of the original figure. Find the scale factor. Classify the dialation as an enlargement or a reduction. (3,8), (8,8) is the measurements of the small triangle with the tip at (8,8) Then the dotted line goes from(2,6)
A.2,enlargement
B. 1/3,reduction
C. 1/2 reduction
D. 3, enlargement
Is the answer D?
To determine the scale factor and classify the dilation as either an enlargement or a reduction, we need to compare the corresponding side lengths of the original figure and the dilated figure.
Given:
Original figure: Triangle with points (3,8), (8,8) with the tip at (8,8)
Dilated figure: Triangle with unknown points, but we are given that the dotted line goes from (2,6)
To find the scale factor, we can compare the corresponding side lengths. Let's consider the base of the triangle:
Original triangle's base length = Distance between (3,8) and (8,8) = 8 - 3 = 5 units
Dilated triangle's base length = Distance between (2,6) and (8,8) = 8 - 2 = 6 units
To calculate the scale factor, we divide the dilated figure's side length by the original figure's side length:
Scale factor = Dilated triangle's base length / Original triangle's base length = 6 / 5 = 1.2
Since the scale factor is greater than 1, this dilation is an enlargement.
Therefore, the correct answer is:
D. 3, enlargement