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 2(Multiple Choice Worth 1 points)
(02.02 LC)
What is the ordered pair of C′ after point C (1, 2) is rotated 90° clockwise?
C′ (−1, 2)
C′ (1, −2)
C′ (2, 1)
C′ (2, −1)
Question 3(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 negative 6, negative 1, at E prime negative 3, 1, at F prime negative 3, 6.
What rotation was applied to triangle DEF to create triangle D′E′F′?
(x, y) → (−y, x)
(x, y) → (y, −x)
(x, y) → (x, −y)
(x, y) → (−x, −y)
Question 4(Multiple Choice Worth 1 points)
(02.02 MC)
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. Second rectangle formed by ordered pairs A double prime at 4, negative 2, B double prime at 4, negative 1, C double prime at 1, negative 1, D double prime at 1, negative 2.
Reflected over the x-axis and reflected over the y-axis
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 5(Multiple Choice Worth 1 points)
(02.02 MC)
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 T″?
(3, −9)
(3, −4)
(−2, −4)
(−2, −9)
Question 6(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 4, negative 1, B double prime at 3, negative 2, C double prime at 1, negative 2, D double prime at 2, negative 1.
Reflected over the x-axis and reflected over the y-axis
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 7(Multiple Choice Worth 1 points)
(02.02 MC)
Which statement accurately explains whether a reflection over the x-axis and a 180° 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
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″(3, 4), and B″(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″(3, 4), and B″(5, 1)
Question 8(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 D′?
(−1, 2)
(2, 1)
(1, −2)
(−2, −1)
Question 9(Multiple Choice Worth 1 points)
(02.02 MC)
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
(1, −1)
(−4, 1)
(1, 1)
(−4, −1)
Question 10(Multiple Choice Worth 1 points)
(02.02 MC)
What set of reflections and rotations would carry rectangle ABCD onto itself?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
Rotate 180°, reflect over the x-axis, reflect over the line y = x
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Rotate 180°, reflect over the y-axis, reflect over the line y = x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
