Similar or No
Dilations are OK!
Proportionality
Transformations
15 sec/T or F
250
Are these triangles similar?
If yes, by what criteria?
Yes, AA similarity
250
What is the scale factor if ABC is the image of DEF?
DEF is the preimage so it is reducing and the small number is on top. 6/10 = K
0.6 = K
250
triangleCAT
Is the preimage of
triangleDOG
What is the scale factor?
K = 1/4
250
Describe the transformation to move the blue triangle onto the green triangle.
Dilate with the Center (O)=A and Scale Factor (K)=2
250
Similar Triangles ALWAYS share a scale factor AND center of Dilation.
True
500
What is the center of dilation?
(5,1)
500
What is the value of z?
4/z+2 = 3/z
3z+6=4z (-3z from both sides)
z=6
500
What series of transformations moves ABC onto DEF
Rotate triangle ABC around point P until C lands on F.
Dilate with the center (C/F) by a scale factor =3/2
500
Similar Triangles preserve side lengths.
False, side lengths are enlarged or reduced through dilations.
600
Find the value of O and K!
O = (2,2)
K =2/1 or 2
600
Explain the transformations that would move triangle ABC onto DEF.
Translate point
AtoD
Then dilate with O=A/D and K=2
600
Similar Triangles maintain Orientation (direction of naming triangles)
True! ABC ~ A'B'C'
750
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What is the scale factor?
1/3=K
750
Describe the transformation of the two similar triangles such that triangle PQR transforms to triangle PTS.
Reflect across line PR (or PS)
Dilate with O=P and K=3/5
750
Similar triangles preserve only one angle measure.
False, similar triangles maintain all angle measurements. AA Similarity Criteria
1000
K = 6/2 (remember to simplify)
K=3/1 or 3
O=(0,0)
1000
Transform triangle ABC to triangle XYZ. Provide specific details.
Translate point A to X (or other corresponding point)
Rotate on point X/A until AB falls on line XY
Dilate O=X/A, K=5/2