Transformations

Question 1

Transformations move and modify what?

Answer 1

geometric shapes

Question 2

A transformation creates a _____.

Answer 2

new figure.

Question 3

The original figure before a transformation is called a __________.

Answer 3

pre-image

Question 4

The figure after a transformation is called __________.

Answer 4

An Image

Question 5

The symbol for an image is called a

Answer 5

prime - ‘

Question 6

What are the two (2) types of transformations?

Answer 6

rigid and non-rigid

Question 7

Another word for a rigid transformation is ________.

Answer 7

a congruence transformation

Question 8

What are three (4) types of rigid transformations?

Answer 8

reflection, rotation, translation, and dialation

Question 9

A reflection transformation turns a figure into what?

Answer 9

1) a mirror image 2) flipping over a line

Question 10

A rotation transformation turns a figure around what?

Answer 10

1) a fixed point 2) to create an image

Question 11

A translation transformation moves ______________, ___________, ___________.

Answer 11

1) every point in a figure 2) the same distance 3) the same direction

Question 12

The arrow –> is used to describe a _____________.

Answer 12

translation

Question 13

Another way to describe a reflection transformation is a ____________.

Answer 13

a flip

Question 14

If (x,y) is reflected over the x-axis of a horizontal line, then ___________________.

Answer 14

the image is (x, -y).

Question 15

If (x,y) is reflected over the y = b of a horizontal line ( X-axis) then ___________________.

Answer 15

the image is (x, 2b - y)

Question 16

A reflection (x,y) over a vertical line causes the ________ coordinates to change while the ____________ remain constant.

Answer 16

X Y

Question 17

If (x,y) is reflected over the y = b of a vertical line (Y-axis) then ___________________.

Question 18

Like a reflection in the origin, a rotation transformation is a figure spun around the ________________________.

Answer 18

Center of Rotation

Question 19

Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on ______________.

Answer 19

the scale factor

Question 20

A scale factor less than one indicates _______________ while a scale factor greater than one represents _________________.

Answer 20

reduction/enlargement

Question 21

Can Vectors be used to represent a translation?

Answer 21

Yes

Question 22

If coordinates stay the same while y-coordinates change, then this is a reflection over _____________________.

Answer 22

Horizontal Lines

Question 23

If (x, y) is reflected over the x-axis, then the image is ____________.

Answer 23

(x, -y)

Question 24

If (x, y) is reflected over y = b, then the image is _____________.

Answer 24

(x, 2b - y)

Question 25

If (x, y) is reflected over the y = x, then the image is ___________.

Answer 25

(y, x)

Question 26

If (x, y) is reflected over y = -x, then the image is.

Answer 26

(-x, -y)

Question 27

A translation in the Coordinate Plane can be described by the notation: (x,y) --> (x + a, y +b) where _________________________.

Answer 27

the point (x,y) is translated horizontally a units and vertically b units.

Question 28

If (x,y) is rotated _________ degrees around the origin, then the image will be (-y,x)

Answer 28

90 Degree Rotation Rule

Question 29

If (x,y) is rotated _________ degrees around the origin, then the image will be (-x,-y)

Answer 29

180 Degree Rotation Rule

Question 30

If (x,y) is rotated _________ degrees around the origin, then the image will be (y,-x)

Answer 30

270 Degree Rotation Rule

Question 31

A ______________in the Coordinate Plane can be described by the notation (x,y) --> (x+a, y+b), where the point (x,y,) is translated horizontally a units and vertically b units.

Answer 31

Translation in the Coordinate Plane

Question 32

To ___________ a point on a coordinate plane, you multiply its coordinates by a scale factor k.

Answer 32

Dialate

Question 33

A change in the size and shape of a figure is called ______________.

Answer 33

Isometry

Question 34

A scale factor > 1 _______________ a figure.

Answer 34

Enlarges

Question 35

Congruent angles have the _______ size and shape

Answer 35

Same

Question 36

Similar angles have the same _______.

Answer 36

Shape

Question 37

Equal has the same shape and value for _______, _______, and _______.

Answer 37

Lengths, Angles, and Parts of Shapes

Question 38

On a coordinate plane, the origin is point ___________.

Answer 38

(0,0)

Question 39

A composition of two or more rigid transformations (isometries) that creates a transformation that does not change the shape or size of a figure is _________.

Answer 39

A rigid transformation or isometry,

Question 40

A Tessellation is when a plane can be covered by one or more shapes (with or without) leaving overlaps or gaps.

Answer 40

Without

Question 41

Equality, congruence, and similarity are _____________.

Answer 41

Relations

Question 42

If a relation is true, it is true in (either, left, right) order.

Answer 42

Either

Question 43

List the 5 Properties of Congruence and Equality.

Answer 43

Equality, Congruence, Similarity, Parallelism, and Perpendicularity

Question 44

If a=b-c, then b-c=a is what property?

Answer 44

Equality Property

Question 45

~ ~ ~ ~ ___ ___ If VW = XY , ___ ___ is what property then XY = VW

Answer 45

Congruence Property

Question 46

If Angle ABCD~LMNP, the Angle LMNP~ABCD is what property?

Answer 46

Similarity Property of Similarity

Question 47

If Line m is parallel to line N, then line N is parallel to line m is what property?

Answer 47

Parallelism Property of Similarity

Question 48

If Vector ST is perpendicular to Vector UV, then Vector UV is perpendicular to Vector ST is what property?

Answer 48

Perpendicularity Property of Similarity

Question 49

When one figure, whether a line segment, polygon, angle, or 3d shape, is identical to another is Shape and Size, they are ________________________.

Answer 49

Congruent

Question 50

≅ means one thing is _________ to another.

Answer 50

Congruent