Answer:
For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.
The new coordinates will be
A(-4,10)
B(4,10)
C(-4,4)
D(4,4)
Step-by-step explanation:
The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).
Answer:
Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:
Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>
List the multiples of 40
<u>Hexagon</u>
List the multiples of 60
List out the common angles
This means that, only a rotation of will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
∠ACB = ∠ABC = 360°/8 = 45°
_____
∠ABC is an external angle of the octagon. Since it is equiangular, all external angles are equal. The sum of external angles of a convex polygon is always 360°, so one of 8 of those angles will be 360°/8 = 45°.
~54: 1,2,3,6,9,27~
~2,754:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,
306,459, 918,1377,2754~
~27: 1,3,9,27~
GCF: 27
Your answer would be for the GCF would be 27
Ya if it was just 18-6 that would be 12 and 3+2 equals 5