Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
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Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
Answer:
I think its 21 im not sure tho! Sorry if im wrong! :(
Step-by-step explanation:
Given:
A dilation with scale factor 2 maps triangle RST to triangle R'S'T'.
The perimeter of triangle RST is 60 units.
To find:
The perimeter of triangle R'S'T'.
Solution:
We know that the dilated figure is similar to the given figure.
The scale factor is 2. It means the side length of the dilated figure is twice then the original figure. So, the ratio of side of original figure to side of dilated figure is 1:2.
Let the perimeter of triangle R'S'T' be x.
The ratio of perimeters of similar figure is equal to the ratio of the corresponding sides of similar figures.




Therefore, the perimeter of triangle R'S'T' is 120.
Answer:
the answer is 4x 
Step-by-step explanation:
I hope this helps
have a nice day/night
Mark brainiest please