Question

Enter the coordinates of the vertices of r(180,0) and t(3,-2) (QRST) will give crown

Answer 1

Explanation:

From the graph attached,

Coordinates of the vertices are,

Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)

Following the rule of translation by 3 units to the right and 2 units down
`T_((3, -2))`

(x, y) → (x+3, y-2)

Q(1, 3) → Q''(4, 1)

R(3, -3) → R"(6, -5)

S(0, -2) → S"(3, -4)

T(-2, 1) → T"(1, -1)

Following rule
`r_{(180,\text{O})}` (rotation of a point by 180° about the origin) will give the image points,

(x, y) → (-x, -y)

Q"(4, 1) → Q'(-4, -1)

R"(6, -5) → R'(-6, 5)

S"(3, -4) → S'(-3, 4)

T"(1, -1) → T'(-1, 1)