Transformations

Vocab

100

Which direction is counterclockwise?

Left

200

What is a translation?

a slide in a figure

300

What is a Rotation?

A turn in an object

400

What is a Reflection?

A flip over a line

500

What is the mapping notation for translations?

(x,y)--------> (x +- a, y +- b)

Translations

100

My Triangle has vertices at (3,0) (5,0) and (4,4)Translate the triangle 2 units left and 3 units down. What are the new vertices?

(1,-3) (3,-3) (2,1)

200

If my parallelogram has 2 sets of parallel sides and I translate it 5 units right, what is true about my parallel lines after I translate?

They remain parallel

300

Graph the triangle (-1,0) (-4,0) (-3,4) then translate it using (x+4, y+2) and graph

(3,2) (0,2) (1,6)

400

If parallelogram ABCD has an angle that measures 120^o and I translate it to A'B'C'D', what does the angle in A'B'C'D' measure?

120^o

500

Draw a horizontal and vertical line and label them

__________ 

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Rotations

100

Mando prints a picture of Miss B that has 4-in long sides. She rotates the picture 90^o clockwise. What is the length, in inches, of the sides after she rotates the picture?

4 in 

(all sides are congruent/stay the same)

200

What is the rotation order of quadrants if a figure starts in Q3 and is rotated 360^o counterclockwise? (what quadrant path would it take)

Start at Q3 then go to Q4 Q1 Q2 then back to Q3

300

This rotation always ends up across from the pre-image. How many degrees do we rotate to do so?

180^o

400

What is the rule for rotating an image 180^o? 

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

500

Graph triangle (2,3) (2,7) (7,3) and rotate it 90^o clockwise

(3,-2) (7,-2) (3,-7)

Reflections

100

If I my triangle starts in Q2 and I reflect my triangle over the y axis, what quadrant will I end up in?

Q1

200

What is the rule for reflecting across the y axis?

Keep y values and change x values to opposite sign(x,y) becomes (-x,y)

300

What is the rule for reflecting across the x-axis?

(x,y) becomes (x,-y)

Keep the x values and change the ys to the opposite sign

400

My pre-image starts at points (1,2) (5,2) (3,-2) my image is at (-1,2) (-5,2) (-3,-2). Which axis did I reflect over?

y axis

Random

100

What is my favorite color?

Purple, blue and yellow

200

The coordinates of a figure are transformed using the rule (x, y)--->(-y, x). What transformation took place?

and 90^o rotation counterclockwise

300

How many pairs of parallel sides does a parallelogram have?

2 sets

400

How many pairs of parallel sides does a trapezoid have?

1 pair