Dilations
Similar figures
Side Splitter/ Proportional sides
Partition a hypotenuse/ line segment
Grab Bag
100
A dilation is performed with these two factors
What is
Scale Factor & Center
100
We know this about the corresponding angles and sides of similar figures
What are
angles are congruent and sides are proportional
100
When given a proportion like such,
16/21 = x/42
this method is used to solve for the variable
what is cross multiplying (butterfly method)
100
a ratio of 7:3 has this many parts
what is 10 parts
100
This equation is used to find the scale factor
What is
"original" * k = "image"
200
This scale factor is used to map A(2,5) to A'(10,25)
What is
k = 5
200
These are the 3 Similarity theorems discussed in class
What is AA, SAS, and SSS
200
solve for x
5/x = 2/4
What is 10
200
These are two methods when partitioning a hypotenuse with an altitude
What is the swoosh method and the spike method
200
Mr. Hickey played this sport in college?
What is Lacrosse
300
This is the relationship of a line segment in the coordinate plane
(between the original and the image)
What is
Parallel
300
using SSS, these proportions would prove
triangle VMK ~ triangleDRS
(VM)/(DR) = (MK)/(RS) = (KV)/(SD)
or
(DR)/(VM) = (RS)/(MK) = (SD)/(KV)
300
Set up a proportion that would solve for side AB
What is
(AB)/2 = 24/3
or
2/(AB) = 3/24
300
This method should be used in this scenario
What is the swoosh method
300
This is how a hypotenuse is identified
The side across from a right angle
400
This is the length of V'V after line segment NV is dilated with a center a N and a scale factor of 5, given the length of NV is 4
What is 16
400
These angles are congruent to prove ADE ~ABC using AA
A=A b/c reflexive property
D=B b/c corresponding angles are congruent
C=E b/c corresponding angles are congruent
400
The side splitter theorem is only possible when this occurs
a segment is drawn parallel to one side of a triangle
400
Solve for the missing value
What is 6.4
400
Mr. Williams attended this college for his Bachelor's degree
What is SUNY Purchase
500
This is the resulting equation of a function,
y = 5/3x + 6
after a dilation centered at the origin with a scale factor of 3
What is y = 5/3x + 18
500
Provide a statement the prove ABC~RST
Answers vary
500
What is
15/20 = 27/36 => 3/4=3/4
therefore, because the sidesplitter theorem applies, EF must be parallel to BC
500
What is E(-1,1)
500
solve for x
What is x = 4.4