he figure on the right is a scaled copy of the figure on the left, though it might have also been rotated.
V
Y
X
W
I
H
G
F
Two polygons V, Y, X, W and I, H, G, F plotted side-by-side on an unlabeled grid. To get from V to Y, go 2 units to the right and 2 units down. To get from Y to X, go 2 units to the right and 6 units up. To get from X to W, go 4 units to the left and 2 units down. To get from W to V, go 2 units down. To get from I to H, go 3 units to the left and 3 units down. To get from H to G, go 9 units to the right and 3 units down. To get from G to F, go 3 units to the left and 6 units up. To get from F to I, go 3 units to the left.
Answer
Attempt 1 out of 2
Which side in the figure on the right corresponds to segment Y, XYXYX?
HG
What is the scale factor?
The scale factor is 2.
its wrong
Apologies for the incorrect answer. To find the correct scale factor, we can compare the lengths of corresponding sides in the two polygons.
From the given information, we have:
YX = 2
XY = 6
WV = 2
IH = 3
GH = 9
FG = 3
Comparing the lengths of corresponding sides, we can see that the ratio of the lengths is not consistent. Therefore, it seems that the figure on the right is not a scaled copy of the figure on the left.
he figure on the right is a scaled copy of the figure on the left, though it might have also been rotated.
V
Y
X
W
I
H
G
F
Two polygons V, Y, X, W and I, H, G, F plotted side-by-side on an unlabeled grid. To get from V to Y, go 2 units to the right and 2 units down. To get from Y to X, go 2 units to the right and 6 units up. To get from X to W, go 4 units to the left and 2 units down. To get from W to V, go 2 units down. To get from I to H, go 3 units to the left and 3 units down. To get from H to G, go 9 units to the right and 3 units down. To get from G to F, go 3 units to the left and 6 units up. To get from F to I, go 3 units to the left
Which side in the figure on the right corresponds to segment Y, XYXYX?
HG
What is the scale factor?
Apologies for the confusion earlier. Let's re-evaluate the problem.
From the given information:
To get from V to Y, we go 2 units to the right and 2 units down.
To get from Y to X, we go 2 units to the right and 6 units up.
To get from X to W, we go 4 units to the left and 2 units down.
To get from W to V, we go 2 units down.
To get from I to H, we go 3 units to the left and 3 units down.
To get from H to G, we go 9 units to the right and 3 units down.
To get from G to F, we go 3 units to the left and 6 units up.
To get from F to I, we go 3 units to the left.
Based on this information, it appears that the figure on the right is a scaled copy of the figure on the left, but it has also been rotated. To find the scale factor, we can compare the lengths of corresponding sides in the two polygons.
From the given information, we have:
YX = 6
HG = 9
To find the scale factor, we can divide the length of the corresponding sides:
scale factor = HG / YX = 9 / 6 = 1.5
Therefore, the scale factor is 1.5.
To determine the scale factor, we need to calculate the ratio of corresponding side lengths between the two figures.
From the given information:
- To get from V to Y, we go 2 units to the right and 2 units down.
- To get from Y to X, we go 2 units to the right and 6 units up.
- To get from X to W, we go 4 units to the left and 2 units down.
- To get from W to V, we go 2 units down.
The segment Y, XYXYX consists of segments YX, XY, YX, and XYX.
Segment YX is composed of the two segments:
- Y to X: 2 units to the right and 6 units up,
- X to Y: 2 units to the left and 6 units down.
Thus, segment YX corresponds to segment HG in the figure on the right.
Therefore, the side in the figure on the right that corresponds to segment Y, XYXYX is segment HG.
Now, let's determine the scale factor.
To determine the corresponding side in the figure on the right, we need to follow the directions given in the question.
Starting from point Y in the left figure, we go 2 units to the right and 6 units up to reach point X. Then, we go 4 units to the left and 2 units down to reach point W. Finally, we go 2 units down to return to point V. Therefore, the path YXYX corresponds to the path HWGH in the right figure.
Now, to find the scale factor, we can compare the lengths of corresponding sides. In the left figure, the length of side VY is 4 units and the length of side XY is 8 units.
In the right figure, the length of side HG can be determined by following the given directions. We go 9 units to the right and 3 units down to reach point G from point H. Therefore, the length of side HG is 9 units.
To find the scale factor, we divide the length of side HG by the length of side VY:
Scale factor = Length of side HG / Length of side VY
Scale factor = 9 units / 4 units
Scale factor = 2.25
Therefore, the scale factor is 2.25.