If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
1 answer:
You might be interested in
<h3>Answer: 5</h3>
=========================================================
One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
-----------------------------------
Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).