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)

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 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)

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