For arbitarary 2×2 matirices a, b and c verify the following properties (a) a(bc)= (ab)c. (b) a(b=c)= ab+ac (c) (b+c)a=ba+ca

(A) distributive property

(B)Commutative

(C)distributive and also commutative property.

Step-by-step explanation:

Commutative means value of left hand side is equal to the value of right hand side.

Distributive means to share value to the brackets.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

1,918

step-by-step explanation: