Dilations
Proportions
Similarity Proofs
Similarity Statements
I love solving!
100
Of the following transformations which one DOES NOT preserve size?
a. Translation
b. Dilation
c. Reflection
d. Rotation
b. Dilation
100
Solve for x:
7/9 = x/(x-10)
x = -35
100
Which is NOT a proof for similar triangles?
a. SAS
b. SAA
c. SSS
d. AA
b. SAA
100
True or False?
A similarity statement must ONLY match corresponding angles.
False
A similarity statement must match both corresponding angles and proportional sides.
100
Solve for "X".
x = 5.4
200
Give an example of a scale factor for enlargement.
Give an example of a scale factor for reduction.
K>1
0<K<1
200
Find the missing side length.
? = 12
200
Are the triangles similar? If yes, why and what is the similarity statement?
YES, by AA Similarity.
Mention alternate interior angles & vertical angles.
Triangle EDW ~ Triangle UVW
200
Complete the similarity statement.
Triangle DCB
200
PQ = 12
300
Find the pre-image point A( , ), if A' = (4, -3) and the scale factor is 1/3.
A =(12, -9)
300
Given two equilateral triangles with sides 16 and 20, respectively, the scale factor of the larger triangle to the smaller triangle (Hint: reduction or enlargement?)
16/20 = 4/5 = 0.2
300
State if the triangles are similar or not and then what similarity statement makes it so.
NO, not similar
300
Triangle ABC is similar to Triangle XYZ. Complete this statement: Triangle BCA is similar to..."
Triangle YZX
300
Find a
a = 12
400
Sketch the image of triangle ABC that has been dilated by a scale factor of 2 from the origin. List the image's coordinates.
A' (2, 2)
B' (10, 4)
C' (6, 10)
400
Find the length of UM.
? = 39
400
Are they similar? If yes, by what proof? Make a similarity statement if your answer is yes.
SAS Similarity.
Mention vertical angles and show proportion.
Triangle ABE ~ Triangle DBC
400
Complete the similarity statement.
Triangle EAB ~ _______________
Triangle CDB
400
Exactly 40/3 or Approximately 13.33 ft
500
Find the scale factor and the center of dilation.
Scale Factor = 1/3
Center of dilation is the origin
500
A giraffe is 18 feet tall and casts a shadow of 12 feet. A BASA Blazer casts a shadow of 4 feet. How tall is the Blazer?
Draw an illustration and show all work.
6 feet.
500
Is Triangle DEF ~ Triangle GHI? Show work and explain why.
No. Try using SSS and make three ratios.
The sides are not proportional because the ratios are not all equal.
500
Make a similarity statement.
NOT SIMILAR, DON'T DO IT!!!
500
x= 9.225
y= 2.025
z= 40