All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1
2 answers:
Answer:
No, the side lengths are not preserved.
Step by step explanation:
We have been given that all side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit.
We can see that the transformation that maps PQRS to P'Q'R'S' is dilation as after dilating our pre-image PQRS with a factor of we get our image P'Q'R'S'.
Since we know that isometry does not change the shape or size of the figure and isometric figures are said to be geometrically congruent. In our case our side lengths are shrunken so the given transformation is not isometric.
Therefore, our transformation is not isometric as the side lengths are not preserved.
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<h2>Answer:</h2>
A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:
For linear functions. the rate of change is the slope of the line. Thus:
FOR THE TABLE:
By taking two points we can get the rate of change, so let's take :
FOR THE GRAPH:
Let's take :
As you can see, so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>