Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
Romashka [77]
The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line

. This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.
Answer:
Step-by-step explanation:
Question 2
As far as I can see, you got it right. The general transformation for 90 ccw is
(x,y) ===> (-y, x)
What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.
The two tables are shown below.
Original
The transformed table is
- (-4,1)
- (-2,1)
- (-2,3)
- (-5,3)
- (-4,1) This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.
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Four
This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.
Original
- (-4,3)
- (0,3)
- (-2,0)
- (-4,3) Here again, this is just to close the figure.
The transformed figure in red I think is
- (4,-3)
- (0,-3
- (2,0)
- (4,-3) And this closes the figure as well.
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Six
The diagram is on the right
Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.
There is no closure.
Reflection
A fair coin just means 50% heads 50% tails. so the sample is still 50% heads 50% tails.
Answer:
The fraction of all shapes which are square in shape is
.
Step-by-step explanation:
Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.
The ratio of white to black shapes are 5:11.
Consider 5x= the number of shapes which are white in color.
11x= The number of shapes which are black in color.
There are (5x+11x)= 16x shapes in the game.
The white circle and white square are in the ratio 3:7.
The number of white square is



The black circles and black square are in the ratio 3:8
The number of black square is


=8x
Therefore the total number of shape which are square is



The fraction of all shape are square is



A) Volume of a cube is found by multiplying its side by itself twice.
V = a³
V = 4³ = 4 * 4 * 4
V = 64 ft³
b) 1 cubic foot = 7.48 gallons of water.
total gallons of water = 64 ft³ x 7.48 gallons = 478.72 or 479 gallons rounded up to the nearest gallon.