Answer:
The complete area of the given figure is
Step-by-step explanation:
Total number of rows = 2
Squares in each row = b
So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b
Also, side length of 1 square = b cm
As we know, AREA OF SQUARE = SIDE x SIDE
So here, area of 1 square = Side x side = b cm x b cm =
⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)
Hence, the complete area of the given figure is
Answer: A″ (−1, 2), B″ (1, 1), C″ (1, −1), D″ (−1, −2)
Step-by-step explanation:
after translation, the corresponding points will be:
A (− 5, 1) --> a(-5+3,1-2) = (-2,-1)
B (−4, 3) --> b(-4+3,3-2) = (-1,1)
C (−2, 3) --> c(-2+3,3-2) = (1,1)
D (−1, 1) --> d(-1+3,1-2) = (2,-1)
let (x,y) be a point and if it is rotated by ""
then, the new coordinates (x',y') will be :
x'=
y'=
here,
so,
a(-2,-1) --> A"
(since, cos[90]=0, sin[90]=1)
b(-1,1) -->B"(-1cos[90]+1sin[90], -[-1]sin[90]+1cos[90])=(1,1)
c(1,1) --> C"(1cos[90]+1sin[90],-[1]sin[90]+1cos[90]) = (1,-1)
d(2,-1) --> D"(2cos[90]+[-1]sin[90],-2sin[90]+[-1]cos[90]) =(-1,-2)
these are the coordinates after both the transformations.