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Transformations
Dilations
Polynomials
Similar Triangles
Vocabulary
100

What transformation is done when the shape goes from quadrant 1 to quadrant 3

180 degrees rotation cw/ccw

100

Point Z is at (4,7). It dilates by a scale factor of 2. Where is point Z now

(8,14)

100

(6-132+203)-(43-9x2-2)

16x3-4x2+2

100

There are two similar triangles. <ABC ~ <DEC

<C=70 degrees, <B=50 degrees, and <D=60.

What rule are they similar by?

AA~

100

What transformation is changes the size of the shape?

Dilation

200

What is (-20,4) reflected over the x-axis

(-20,-4)

200

Point A was at (9,12) it then became point A' which was at (3,4). What is the scale factor?

K=1/3

200

(10x3+5x2-9) +(4x3+5)

14x3+5x2-4

200

There are two triangles <CAT and <DOG

<C=90, <D=90, <T=42, <O=32

Are these triangles similar?

No

200

Has the same shape and angles but different sides

Similar

300

Point G is at (10,-12), it gets translated by (x-7,y+4). Where is point G at now?

(3,-8)

300

Point A' is at (40, 15), the original point was (16, 6). What is the scale factor?

K=8/3

300

6x(11x2+2x)

88x3+22x2

300

There are two similar triangles LAG ~ RID

LA=20, RI=4, AG=15, ID=3, LG=40, RD=9

What are the triangles similar by?

SSS~

300

Has three or more terms

Polynomials 

400
Point Y is at (6,-10), it gets rotated by 90 degrees cw. Then it is translated up by 5 and left by 1. Where is the point now?

(-5,-7)

400

A triangle named CAB gets dilated. The original points were C=(24,16), A=(12,8), B=(48,32). 

The new image points are C=(48,32) , A=(24,16), B=(96,64)

What is the scale factor?

k=6/4

400
-12x(10x2-6x+14)

-1203+722+168x

400

There are two similar right triangles, BIT ~ SOL

<O=60, <T=30, BI=100, SO=10, IT=50, OL=5, BT=120, SL=12

What are the triangles similar by?

SAS~

400

How much the shape dilated by

Scale factor

500

A point at (12, -8) gets reflected over the y-axis then gets translated down by 10 and right by 9. Then it gets rotated by 270 degrees cw. Where is the point now?

(-1,-22)

500
The triangle DOG gets dilated.

D=(500,700), O=(60,84), G=(45,63)

The triangle DOG' is made
D'=(50,70), O'=(30,42), G'=(10,14)

What is the scale factor?

k=5/7

500

(5x-9)(12x2-8x+10) 

60x3-40x2-14x-90

500

There are two triangles, THE and BIG

<H=70, <B=90, <E=20, TH=70, BI=10, HE=14, IG=2, TE=63, BG=9

Are the triangles similar? If they are what are they similar by?

Yes; SAS~

500

Has the same size, sides, and angles

Congruent