Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin
1 answer:
Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:
Since:
It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:
So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;
Now you can draw it (The image is attached).
You might be interested in
Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons.
- What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add to both sides of this equation:
Substract from both sides:
.
Convert the denominator of all three numbers on the left-hand side to
.
.
In other words, Catherine's sister ate gallons of the ice cream.