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)