Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
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To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.
Answer:
23 cm squared
Step-by-step explanation:
Split the shape into two shapes.
<u>Shape one:</u>
5 x 3 = 15 cm squared
<u>Shape two:</u>
7 - 3 = 4 (length of a side of the second shape)
4 x 2 = 8 cm squared
15 + 8 = 23 cm squared
Answer:
The table on the right, the green table, is the one that shows a proportional relationship
Step-by-step explanation:
There is a few ways to get the result.
Lets try this.
First calculate how many minutes are in the 5 hours.
60min*5=300min - in 5 hours
Now, knowing that quarter is 15min we can divide 300 by 15 to get the result, so
300:15=20 - its the result.
Answer:
The equivalent ratios are B and C.