Question

WILL GIVE BRAINLIEST
Which statement is true about figures ABCD and A'B'C'D'?


a. A'B'C'D' is obtained by translating ABCD 4 units up and then reflecting it about the y-axis.

b. A'B'C'D' is obtained by translating ABCD 4 units right and then reflecting it about the x-axis.

c. A'B'C'D' is obtained by rotating ABCD counterclockwise by 180 degrees about the origin and then reflecting it about the y-axis.

d. A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

Answer 1

I think c is right because 180 is Turing it once the it reflects to the other square

Answer 2

Answer:

The correct option is d.

Step-by-step explanation:

From the given figure it is clear that the vertices of ABCD are A(-4,-3), B(-3,-1), C(-2,-3) and D(-3,-4). The vertices of A'B'C'D' are A'(3,4), B'(1,3), C'(3,2) and D'(4,3).

ABCD counterclockwise by 90 degrees about the origin, then

$(x,y)\rightarrow (-y,x)$

$A(-4,-3)\rightarrow A_1(3,-4)$

Similarly, B₁(1,-3), C₁(3,-2), and D₁(4,-3).

Then reflecting it about the x-axis.

$(x,y)\rightarrow (x,-y)$

$A_1(3,-4)\rightarrow A'(3,4)$

$B_1(1,-3)\rightarrow B'(1,3)$

$C_1(3,-2)\rightarrow C'(3,2)$

$D_1(4,-3)\rightarrow D'(4,3)$

A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

Therefore the correct option is d.