Exam: 02.02 Rotations Geometry

Which statement accurately describes how to perform a 180° rotation of point A (−2, 3) 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 180° from point A.

Which statement accurately describes how to perform a 90° counterclockwise rotation of point A (−1, −2) 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° counterclockwise from point A.

What is the ordered pair of C′ after point C (1, 2) is rotated 90° clockwise?

C′ (2, −1)

Parallelogram JKLM is shown on the coordinate plane below:If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)

Parallelogram JKLM is shown on the coordinate plane below: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′(6, 4); L′(3, 3)

What is the ordered pair of M′ after point M (5, 6) is rotated 90° counterclockwise?

M′ (−6, 5)

Which statement accurately explains whether a reflection over the x-axis and a 90° counterclockwise rotation would map figure ACB onto itself?

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

Pentagon ABCDE is shown on the coordinate plane below: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)

Pentagon ABCDE is shown on the coordinate plane below: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?

(−4, 1)

If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie?

(−4, 1)

Triangles DEF and D′E′F′ are shown on the coordinate plane below: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?

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″?

Reflected over the x‒axis and rotated 90° counterclockwise