Respuesta :
The correct answer is:
A 180° rotation followed by a translation 1 unit down.
Explanation:
The points are mapped as follows:
J(3, 4)→J'(-3, -5)
K(3, 1)→K'(-3, -2)
L(1, 1)→L'(-1, -2)
A 180° rotation maps a point (x, y) to (-x, -y). This would map
J(3, 4)→(-3, -4)
K(3, 1)→(-3, -1)
L(1, 1)→(-1, -1)
The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these. This means a translation 1 unit down would result in the image points.
Answer:
Step-by-step explanation:
Given are the coordinates of vertices of △JKL are J(3, 4), K(3, 1) , and L(1, 1) . The coordinates of the vertices of △J′K′L′ are J′(−3,−5), K′(−3,−2), and L′(−1,−2).
On comparison we find that each x coordinate has changed sign and y coordinate changed sign and 1 unit less.
Hence correct transformation would be
i) A rotation of 180 degrees about the origin. This makes the coordinates as
(−3,−4), (−3,−1), and (−1,−1)
ii) Now shift 1 unit down vertically sothat we get the triangle J'K'L'
