What transformation is done when the shape goes from quadrant 1 to quadrant 3
180 degrees rotation cw/ccw
Point Z is at (4,7). It dilates by a scale factor of 2. Where is point Z now
(8,14)
(6-132+203)-(43-9x2-2)
16x3-4x2+2
There are two similar triangles. <ABC ~ <DEC
<C=70 degrees, <B=50 degrees, and <D=60.
What rule are they similar by?
AA~
What transformation is changes the size of the shape?
Dilation
What is (-20,4) reflected over the x-axis
(-20,-4)
Point A was at (9,12) it then became point A' which was at (3,4). What is the scale factor?
K=1/3
(10x3+5x2-9) +(4x3+5)
14x3+5x2-4
There are two triangles <CAT and <DOG
<C=90, <D=90, <T=42, <O=32
Are these triangles similar?
No
Has the same shape and angles but different sides
Similar
Point G is at (10,-12), it gets translated by (x-7,y+4). Where is point G at now?
(3,-8)
Point A' is at (40, 15), the original point was (16, 6). What is the scale factor?
K=8/3
6x(11x2+2x)
88x3+22x2
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~
Has three or more terms
Polynomials
(-5,-7)
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
-1203+722+168x
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~
How much the shape dilated by
Scale factor
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)
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
(5x-9)(12x2-8x+10)
60x3-40x2-14x-90
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~
Has the same size, sides, and angles
Congruent