Transformation Test

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If (-4,8) was rotated 270 degrees it would turn into

(8,4)

Symbolic form of a translation

(x,y) ➡️ (x+h,y+k)

T(-2,3) (x,y) equals

(x-2,y+3)

In a rotation of 270 degrees (x,y) turns into

(y,-x)

How many degrees does an equilateral triangle have in it?

120 degrees

How many degrees does a square have in it?

90 degrees

Line reflection

A flip over a line

What's a glide reflection

A reflection followed by a translation

Rotation

A turn around a fixed point called the center of rotation

Pre-image

An operation that maps an original figure onto a new one

The figure rotates at a specific...

Angle and direction

What transformation doesn't preserve orientation

Any reflection

A transformation can change the...

Can change the size, position, or shape of a figure

Which figure has an infinite amount of lines of symmetry

Circle

The designed (unless specified) rotation is

Counterclockwise

Y=X or Y=-X is a...

Diagonal reflection

What does D stand for

Dilation

What translation has no isometry?

Dilations

What does line reflection, translations, and rotations all preserve?

Distance, angle measures, parallelism, collinearity, mid-point

Notation for dilation

Dk (x,y) = (kx,ky)

How many sides does a rhombus have?

Four

H represents the

Horizontal shift

After a rotation of 270 degrees, the image of (-3,-6) lies in quadrant

II

After a reflection of the x-axis, the image of (-7,2) lies in quadrant

III

If a figure has a line of symmetry...

It can be mapped into itself by a reflection in a line

If a figure has point symmetry...

It can be mapped onto itself by rotating the figure 180 degrees about a center point

If a figure has rotational symmetry...

It can be mapped onto itself by rotating the figure less than 360 degrees about a center point

What has opposite isometric

Line reflection

What has reverse orientation?

Line reflection

The composition of a line reflection in the y-axis followed by a reflection in the x-axis is equivalent to a single transformation. Which one?

R180 (rotation of 180 degrees)

What does r stand for

Reflection

Which geometric figure has 72 degree rotational symmetry?

Regular pentagram

What figure doesn't have a line of symmetry?

Rhombus

You read notation...

Right to left

What does R stand for

Rotation

Notation for translations

T h,k (x,y) = (x+h,y+k)

If translation T maps point A(-3,1) onto point A'(5,5), what is the translation T?

T8,4

A composition is...

The combination of two transformations

What happens to the coordinates when the line of symmetry is y=x

The coordinates get flipped / switched around

Which transformation do you start with? T(7,-2) • R270

The rotation

Which transformation do you start with? r y-axis • T(-3,5)

The translation

What happens to the coordinates when it's reflected over the x-axis

The y coordinate negates

Translation

To vertically and / or horizontally slide a figure

What does T stand for

Transformation

Isometry

Transformation that preserves distance

Under which isometry is the slope of line segment equal to the slope of its image?

Translation

Which figure always has exactly one line of symmetry

Trapezoid

K represents the

Ventricle shift

What letter has 270 degree rotational symmetry

X

If letter P is rotated 180 degrees, what is the resulting figure

d

Notation for line reflection

r x-axis (x,y) = (x,-y) r y-axis (x,y) = (-x,y) r y=x (x,y) = (y,x) r y=-x (x,y) = (-y,-x)

What is the image of point (1,1) under r x-axis • R90

(-1,-1)

The point (-2,1) is rotated 90 degrees clockwise around the origin, the new image's coordinates are,

(-2,-1)

What happens to (-7,3) after T5,7

(-2,10)

If (2,3) was rotated 90 degrees it would turn into

(-3,2)

What is the image of (-6,2) when reflected in the x-axis?

(-6,-2)

The transformation R90 degrees maps point (5,6) onto the point whose coordinates are

(-6,5)

What happens to (4,7) after R90

(-7,4)

If (7,-6) was rotated 180 degrees it would turn into

(-7,6)

What's the image of the coordinates (1,5) after R90 then T(-2,8)

(-7,9)

What is the image of (9,1) when reflected in the y-axis

(-9,1)

In a rotation of 180 degrees (x,y) turns into

(-x,-y)

In a rotation of 90 degrees (x,y) turns into

(-y,x)

The image of A(-1,3) under the translation T2,1 is

(1,4)

If (2,3) was rotated 270 degrees it would turn into

(3,-2)

If the point (-2,4) is reflected in the line y=x then the image is

(4,-2)

What is the image (4,-7) when reflected in the x-axis

(4,7)

Notation for rotations

R90 (x,y) = (-y,x) R180 (x,y) = (-x,-y) R270 (x,y) = (y,-x)

What happens to the coordinates when it's reflected over the y-axis

The x coordinate negates


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