AnswersGeometryGeometric Transformations — TestQuestion 20
20
QuizMultiple Choice

Geometric Transformations — Test

Question 20 • Geometry

Square RSTU is translated to form cap r prime cap s prime cap t prime cap u prime , which has vertices cap r prime times open paren negative 8 comma 1 close paren , cap s prime times open paren negative 4 comma 1 close paren , cap t prime times open paren negative 4 comma negative 3 close paren , and cap u prime times open paren negative 8 comma negative 3 close paren If point cap s has coordinates of open paren 3 comma negative 5 close paren , which point lies on a side of the pre-image, square RSTU ?

Answer
A
open paren negative 1 comma negative 6 close paren
B
open paren 4 comma negative 9 close paren
C
open paren 3 comma negative 3 close paren
D
open paren negative 5 comma negative 3 close paren

Explanation

The translation moves S(3, −5) to S′(−4, 1), so the translation vector is (−7, 6). To recover the pre-image, add (7, −6) to each image vertex; this gives R(−1, −5), S(3, −5), T(3, −9), and U(−1, −9). The point (−1, −6) lies on the side from R to U, so the correct choice is C, (−1, −6).

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