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1

translation rule for a unit right and b units up

(x,y)-->(x + a, y + b) a= horizontal shift b = vertical shift

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2

Translation rule for a units left and b units down

(x,y)——>(x-a,y-b)

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3

reflection over the x-axis (Rule)

(x,y)-->(x, -y)

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4

reflection over the y-axis (Rule)

(x,y)-->(-x, y)

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5

Reflection over the y=x rule

(x,y) -> (y,x)

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6

rotation of 90º Clockwise about the origin (Rule) same for 270 CCW

(x,y)-->(y, -x)

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7

rotation of 180º CW/CCW about the origin (Rule)

(x,y)-->(-x, -y)

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8

rotation of 90 CCW/270º Clockwise about the origin (Rule)

(x,y)-->(-y, x)

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9

Reflection (Definition)

A transformation of a figure that FLIPS the figure across a line of symmetry

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10

Translation (Definition)

A transformation of the movement (SLIDE) of a figure along a straight line

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11

Rotation (Definition)

A transformation in which a figure is TURNED around a point of rotation

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12

Identify the examples of rigid motions (congruent)

rotation, reflection, translation

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13

The reflection of the point (4, 2) across the x-axis is the point ___.

(4, -2)

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14

The reflection of the point (4, 2) across the y-axis is the point ___.

(-4, 2)

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15

A reflection of the point (4,2) across the line y=x is the point_______

(2,4)

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16

The translation of point (4, 2) using the vector

<-3,2> is the point ______.

<-3,2> is the point ______.

(1, 4)

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17

The rotation of the point (4, 2) 90º Clockwise about the origin is the point ____________

(2, -4)

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18

The rotation of the point (4, 2) 180º counterclockwise (CCW) about the origin is the point ____________

(-4, -2)

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19

The rotation of the point (4, 2) 90º counter Clockwise (CCW) about the origin is the point ____________

(-2,4)

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20

rotation of 90º Clockwise is the same rule as....

270 counter clockwise

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21

rotation of 270º Clockwise is the same rules as...

90 counter clockwise

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22

A line of reflection is the _________ _______________ of the any segment connecting a domain point to a range point.

perpendicular bisector

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23

The magnitude (or degree) of rotation symmetry that maps a regular polygon onto itself formula

360/number of sides

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24

order of rotational symmetry

the number of times the figure coincides with itself as it rotates through 360 degrees. For regular polygons it equals the number of sides.

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25

Rigid figures preserve......

distance between points, angles measures, betweenness of points, and collinearity

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