Dilations
Proportions
AA/SSS/SAS Similarity
Similarity Statements
Special Segments of Similar Triangles
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:
x/32 = 4/5
x = 25.6
100
According to SSS Similarity, what do two triangles need to have in order to be similar?
All 3 corresponding proportions must be the same.
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
K<1
200
Solve for x.
14/84 = x/66
x = 11
200
State if the triangles are similar or not and then what similarity statement makes it so.
YES, by AA Similarity
200
Complete the similarity statement.
Triangle DCB
200
Find the missing side lengths for x, y, and z.
x= 9.225
y= 2.025
z= 40
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 1/2 from (3, 3) and LABEL the points.
A' (2, 2)
B' (4, 2.5)
C' (3, 4)
400
Given the two triangles are similar, find the missing indicated length.
? = 39
400
What is it called when the lengths of two sides of one triangle are proportional to the lengths of two corresponding sides of the other triangle and the included angle is congruent
SAS Similarity
400
Complete the similarity statement.
Triangle FGH
400
Solve for "x".
x = 13.3 ft
500
Find the scale factor and the center of dilation.
Scale Factor = 1/3
Center of dilation is the origin
500
Solve for x.
2/3 = (x+3)/(4x)
x=3
500
State if the triangles are similar or not and then what similarity statement makes it so.
YES, by SAS Similarity
500
Are the triangles similar? If so, complete the similarity statement.
NOT SIMILAR
500
PQ = 12