Answer:
3
Step-by-step explanation:
area = l^2 = 9
so,l = = 3
Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endp
oints of line AB are located at (0, -7) and (8, 8), what is the length of line A'B'?
Use the distance formula to help you decide (picture added)
Use the distance formula to help you decide (picture added)
1 answer:
Answer:
A'B' = 34 units
Step-by-step explanation:
Since the dilatation is centred at the origin , then multiply the coordinates by 2
A' = (2(0), 2(- 7) = (0, - 14 )
B' = (2(8), 2(8) = (16, 16)
Calculate the length using the distance formula
d =
with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)
d =
=
=
=
= 34
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Explanation:
There are numerous videos and web sites that can show you the process of copying an angle. Some are animated. The best we can do here is show you a diagram with instructions. Of course, your curriculum materials already provide that.
__
1. Set the compass to a convenient radius. Use that to draw an arc through rays ED and EF, using point E as the center.
2. Without changing the compass setting, draw a similar arc using S as the center, making sure it crosses the line containing S and extends far enough to accommodate the following steps. (In the attached, we show a full circle, because the tool we used won't draw an arc with a specific radius.)
3. Mark the points where the arc crosses ED as G, and where it crosses EF as H. Mark the point where the arc crosses the line containing S as I.
4. Set the compass radius to the distance GH. Using I as the center draw an arc with that radius so that it crosses the one made in step 2. Call that intersection point J. (Again, we have shown a circle because of the limitations of the tool being used for our diagram.)
5. Draw ray SJ to complete the angle copy.
