The rectangle shown is reduced by a scale factor of 0.5 AB= 16 and AC=6.
A___15cm______B
8cm
C______________D
Calculate the length of each side of the reduced image. Draw the new image A' B' D' C'
if the scale is 0.5
then each new length is half the old one
16 becomes 8
and
6 becomes 3
To find the length of each side of the reduced image, we need to apply the scale factor of 0.5 to the original dimensions of the rectangle.
Step 1: Calculate the length of AB in the reduced image.
The scale factor for length is 0.5, so we multiply the original length of AB (16 cm) by the scale factor:
Length of AB' = 16 cm * 0.5 = 8 cm
Step 2: Calculate the length of AC in the reduced image.
Using a similar approach, we multiply the original length of AC (6 cm) by the scale factor:
Length of AC' = 6 cm * 0.5 = 3 cm
Step 3: Calculate the length of BC in the reduced image.
Since BC is parallel to AB, its length will also be reduced by the same scale factor:
Length of BC' = 8 cm * 0.5 = 4 cm
Step 4: Calculate the length of CD in the reduced image.
CD is parallel to AC, so its length will also be reduced by the scale factor:
Length of CD' = 6 cm * 0.5 = 3 cm
Now, let's draw the new image A'B'D'C' using the calculated dimensions:
A'__________B'
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C'__________D'
In the new image, A'B' will have a length of 8 cm, AC' will have a length of 3 cm, B'C' will have a length of 4 cm, and CD' will have a length of 3 cm.