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, β3), D(4, β3)
C(1, β2), D(4, β2)
C(1, β4), D(4, β4)
C(1, β5), D(4, β5)

answer

C(1, β5), D(4, β5)

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, β5)
(1, β3)
(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