Ratios & Proportions
AA/SSS/SAS Similarity
Triangle Similarity
Proportions in Triangles
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 ratios must be the same.
OR
All corresponding sides must be propotional.
100
Solve for x given that the triangles are similar.
x=8
200
△ABC ~△DEF
Perimeter of △ABC=25u, AB=5u, DE=6u
What is the perimeter of △DEF?
Perimeter △DEF=30u
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 y.
y=5
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
Solve for x given △VUW~△SUT.
x=11
300
Find b.
b=30
400
Solve for x.
2/3 = (x+3)/(4x)
x=3
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
(BE)/(EC)=?/(FC)
DF
400
Solve for "x".
x = 13.3 ft
500
△ABC ~△DEF, find AC?
AC=7cm
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
Given the angle bisector, solve for x.
x=5