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
Triangle CAT is similar to Triangle PMO.
What is the value of x? (round to the nearest tenth)
8/42.5 = 17/x
42.5*17 = 8x
722.5=8x
x = 90.3
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
Similar or no?
If yes, by what similarity criteria?
If no, prove it (proportionally)
Yes, SSS Similarity
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
Similar or no?
Yes, through AA similarity (50+60+70=180)
600
Find the value of O and K!
O = (2,2)
K =2/1 or 2
600
What is the value of x?
4/9=12/x
9*12=4x
108=4x
x=27
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
Are these triangles similar? If yes, using what similarity criteria?
If no, why not?
No because the sides are not proportional.
750
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What is the scale factor?
1/3=K
750
What is the value of x, w & z?
20/8 = w/20
8w=400
w=50
x=53.9
z=21.5
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
Similar or no? Why or why not?
Not similar because 30+75=105 leaving 75 as the last angle. None of those angles are 70 degrees.
Also, since these are isosceles, the base angles must be the same (70 & 75)
1000
K = 6/2 (remember to simplify)
K=3/1 or 3
O=(0,0)
1000
What is the value of X? Y? Z? (rounded to the nearest tenth).
x = 26.8
y = 28.4
z = 25.5
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
1000
Triangles can be proven similar through AA, similarity, SSS similarity or ASA similarity.
False, ASA is NOT a similarity criterion. Only SSS, SAS, and AA similarity.