Rectangle STUV is shown on a coordinate plane.
Rectangle STUV with vertices S at negative 7 comma 6, T at negative 2 comma 6, U at negative 2 comma 1, and V at negative 7 comma 1.
If rectangle STUV is translated using the rule (x, y) → (x − 2, y − 4) and then rotated 90° counterclockwise, what is the location of S″?
(3, −9)
(3, −4)
(−2, −4)
(−2, −9)
Question 5(Multiple Choice Worth 1 points)
(02.02 LC)
Triangles DEF and D′E′F′ are shown on the coordinate plane below:
Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime 6, 1, at E prime 3, negative 1, at F prime 3, negative 6.
What rotation was applied to triangle DEF to create triangle D′E′F′?
(x, y) → (x, −y)
(x, y) → (−y, x)
(x, y) → (−x, −y)
(x, y) → (y, −x)
Question 6(Multiple Choice Worth 1 points)
(02.02 LC)
Pentagon ABCDE is shown on the coordinate plane below:
Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2.
If pentagon ABCDE is rotated 180° around the origin to create pentagon A′B′C′D′E′, what is the ordered pair of point C′?
(−5, 2)
(5, 2)
(2, −5)
(−2, 5)
Question 7(Multiple Choice Worth 1 points)
(02.02 MC)
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in the image parallelogram?
K′(−4, −6); L′(3, −3)
K′(6, 4); L′(3, 3)
K′(−6, −4); L′(−3, −3)
K′(−4, 6); L′(−3, −3)
Question 8(Multiple Choice Worth 1 points)
(02.02 MC)
What set of transformations are applied to parallelogram ABCD to create A″B″C″D″?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A double prime at 1, negative 4, B double prime at 2, negative 3, C double prime at 2, negative 1, D double prime 1, negative 2.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 90° counterclockwise
Question 9(Multiple Choice Worth 1 points)
(02.02 MC)
What set of reflections and rotations would carry rectangle ABCD onto itself?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1.
Rotate 180°, reflect over the x-axis, reflect over the line y = x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y = x
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Question 10(Multiple Choice Worth 1 points)
(02.02 MC)
Which statement accurately explains whether a reflection over the x-axis and a 90° counterclockwise rotation would map figure ACB onto itself?
a coordinate plane with figure ACB with point A at 1, 1, C at 3, 4 and B at 5, 1
Yes, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
Yes, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
No, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
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FDK371.12