Part A:
The scale factor is 1/4, because you obtain the coordinates of points P', Q', R' by dividing the coordinates of P, Q and R respectively by 4.
Part B:
Reflecting about the y axis causes a sign swap in the x coordinate. So, the new point will be
Part C:
The triangles are similar, but not congruent. When you transform PQR into P'Q'R', you get a scaled version of the original triangle. This means that the angles and the proportion between sizes will be the same, but the length are scaled by 1/4, and the area is consequentially scaled by 1/16.
Triangles P'Q'R' and P''Q''R'' are congruent, so they are both similar but not congruent to the original triangle.
Seems like you forgot to attach the table.
For this reason, I will explain how to solve this question and you can apply using the numbers in your table.
We are given that:
y is inversely proportion to x. This means that as y decreases, x increases and vice versa.
Writing this into equation, we would get:
y = c/x where c is the constant of proportionality.
Now, we have the constant of proportionality given as 4.5.
This means that the equation that relates x and y is:
y = (4.5) / x
So, to fill in the table, we would substitute with the given x or y in the equation above and solve for the other variable.
Examples:
If given that x=2, then:
y = (4.5) / (2) = 2.25
If given that y=3, then:
3 = (4.5) / x
x = (4.5) / (3) = 1.5
Hope this helps :)
<span>40,320 hope this helps</span>
Answer:
D.
Step-by-step explanation:
First, multiply straight across and put everything together:
Notice we can simplify by cancelling a b and reducing 3/12:
This cannot be simplified further.
D.
