For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
Answer:
4.5 seconds.
Step-by-step explanation:
0.75 of a picture will be taken within a second. 6 times 0.75 is 4.5 seconds.
Hope this helps!
Answer:
240 ft²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle.
The area of the shape = area of the triangle + area of the rectangle
= ½*bh + L*W
Where,
b = base of triangle = 24 ft
h = height of triangle = 12 - 8 = 4 ft
L = length of rectangle = 24 ft
W = width of rectangle = 8 ft
Plug in the values into the equation
Area of the shape = ½*24*4 + 24*8
= 48 + 192
= 240 ft²
