ThatTrashPanda
24.04.2020 •
Mathematics
Chase enlarged his 4-inch by 5-inch picture to make a poster. He used 36inches as the length of the shortest side. How many inches was the length of the longest side of the poster?
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Ответ:
answer: the correct option is
(d) rotation of 90° counterclockwise about the origin.
step-by-step explanation: given thatben performed a transformation on trapezoid pqrs to create p'q'r's' as shown in the figure.
we are to select the correct transformation that ben performed to create p'q'r's'.
the co-ordinates of the vertices of trapezoid pqrs are
p(-6, -3), q(-4, -3), r(-2, -5) and s(-7, -6).
and, co-ordinates of the vertices of trapezoid p'q'r's' are
p'(3, -6), q'(3, -4), r'(5, -2) and s'(-6, 7).
so,
p(-6, -3) ⇒ p'(3, -6),
q(-4, -3) ⇒ q'(3, -4),
r(-2, -5) ⇒ r'(5, -2),
s(-7, -6) ⇒ s'(-6, 7).
so, the transformation rule from trapezoid pqrs to p'q'r's' is
(x, y) ⇒ (-y, x), which gives rotation about the origin (0, 0) through an angle of 90° counterclockwise or 270° clockwise.
since 270° clockwise rotation about the origin is not in the given options, so the required transformation is
"rotation of 90° counterclockwise about the origin."
thus, (d) is the correct option.