The figure on the right is a scaled copy of the figure on the left, though it might have also been rotated.
M
J
K
L
B
D
C
E
Two polygons M, J, K, L and B, D, C, E plotted side-by-side on an unlabeled grid. To get from M to J, go 2 units to the right and 2 units down. To get from J to K, go 2 units to the right and 4 units up. To get from K to L, go 2 units to the left and 1 unit up. To get from L to M, go 2 units to the left and 3 units down. To get from B to D, go 6 units to the left and 6 units up. To get from D to C, go 6 units to the left and 12 units down. To get from C to E, go 6 units to the right and 3 units down. To get from E to B, go 6 units to the right and 9 units up.
Which side in the figure on the right corresponds to segment L, MLMLM?
What is the scale factor?
Segment L on the figure on the left corresponds to the segment on the right that connects points J and M.
To find the scale factor, we can compare the lengths of corresponding sides. The length of segment LM on the figure on the left is 6 units. The length of the corresponding side on the figure on the right is 3 units.
Therefore, the scale factor is 6:3, or simplified, 2:1.
To understand which side in the figure on the right corresponds to segment L, we need to follow the given instructions for each polygon.
Starting with polygon M, we go 2 units to the right and 2 units down to reach J. Then, we go 2 units to the right and 4 units up to reach K. Next, we go 2 units to the left and 1 unit up to reach L. Finally, we go 2 units to the left and 3 units down to return to M.
From the given instructions, we can see that the polygon M, J, K, L forms a rectangle. The side on the right of this rectangle corresponds to segment L.
Now, let's determine the scale factor by comparing the corresponding sides of the two polygons.
The length of segment ML in the figure on the left is 5 units.
The length of segment ML in the figure on the right is 2 units.
To find the scale factor, we divide the length of segment ML in the figure on the right by the length of segment ML in the figure on the left:
Scale factor = (Length in figure on the right) / (Length in figure on the left) = 2 / 5 = 0.4
Therefore, the scale factor is 0.4.