Exam: 02.02 Reflections

8 September 2022
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question
A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid below to represent two vertices of the new fire department quadrilateral ABCD: https://cdn1.imggmi.com/uploads/2019/6/9/9901a8c0faafd1722e48e5ba5d089bb0-full.gif What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department? C(1, βˆ’3), D(4, βˆ’3) C(1, βˆ’2), D(4, βˆ’2) C(1, βˆ’4), D(4, βˆ’4) C(1, βˆ’5), D(4, βˆ’5)
answer
C(1, βˆ’5), D(4, βˆ’5)
question
What set of reflections would carry hexagon ABCDEF onto itself? https://cdn1.imggmi.com/uploads/2019/6/9/e18a4e8b33e737242e56548f5bdf12ca-full.gif y=x, x-axis, y=x, y-axis x-axis, y=x, x-axis, y=x y-axis, x-axis, y-axis x-axis, y-axis, y-axis
answer
y=x, x-axis, y=x, y-axis
question
Triangle XYZ is shown on the coordinate plane below: https://cdn1.imggmi.com/uploads/2019/6/9/9a7925f0ad0d56908123e2647ca5a4ba-full.gif If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'? (1, βˆ’5) (1, βˆ’3) (1, 3) (1, 5)
answer
(1, 5)
question
Trapezoid TUVW is shown on the coordinate plane below: https://cdn1.imggmi.com/uploads/2019/6/9/24ccecbd70c9f4b93fc253b8d947bd94-full.gif If trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of W' is ___________.
answer
(7, 2)
question
Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: https://cdn1.imggmi.com/uploads/2019/6/9/53084cb4afb7e3dc3e9e313b63501796-full.gif Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) β†’(x + 8, y + 2) and reflected across the x-axis Translated according to the rule (x, y) β†’(x + 2, y + 8) and reflected across the y-axis Translated according to the rule (x, y) β†’(x + 8, y + 2) and reflected across the y-axis Translated according to the rule (x, y) β†’(x + 2, y + 8) and reflected across the x-axis
answer
Translated according to the rule (x, y) β†’(x + 8, y + 2) and reflected across the x-axis
question
What set of reflections would carry triangle ABC onto itself? https://cdn1.imggmi.com/uploads/2019/6/9/50b03222f20540c9a0c47cd7249a07cf-full.gif y-axis, x-axis, y-axis, x-axis x-axis, y=x, y-axis, x-axis x-axis, y-axis, x-axis y=x, x-axis, x-axis
answer
y-axis, x-axis, y-axis, x-axis
question
Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below: https://cdn1.imggmi.com/uploads/2019/6/9/7b8b6a18ce86e0dcc29c40bcfaf40171-full.gif What is the line of reflection between pentagons PQRST and P'Q'R'S'T'? y = x y = 0 x = 1 x = 0
answer
y = x