Rotations 2.02 FLVS (90%)

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° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in the image parallelogram?

!!!N O T!!! K′(6, 4); L′(3, 3)

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)

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1.

(−4, 1)

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 1, negative 6, at E prime negative 1, negative 3, at F prime negative 6, negative 3. What rotation was applied to triangle DEF to create triangle D′E′F′?

180°

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.

Reflect over the y-axis, reflect over the x‒axis, rotate 180°

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

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

Which statement accurately explains whether a reflection over the y-axis and a 270° 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

No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

Which statement accurately describes how to perform a 90° clockwise rotation of point A (1, 4) around the origin?

Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90° clockwise from point A.

What is the ordered pair of X′ after point X (3, 4) is rotated 180°?

X′ (−3, −4)