Geometry FLVS 02.02- Rotations

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 A′?

(2, −4)

Rectangle STUV is shown on a coordinate plane. If rectangle STUV is translated using the rule (x, y) → (x − 2, y − 4) and then rotated 90° counterclockwise, what is the location of V″?

(3, −9)

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′?

(x, y) → (y, −x)

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)

Rectangle STUV is shown on a coordinate plane. 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″?

(−2, −9)

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

(−4, 1)

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

C′ (2, −1)

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure ACB onto itself?

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

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 could be applied to rectangle ABCD to create A″B″C″D″?

Reflected over the x-axis and reflected over the y-axis

What set of transformations are applied to parallelogram ABCD to create A″B″C″D″?

Reflected over the x-axis and rotated 90° counterclockwise

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

X′ (−3, −4)