Ratios & Proportions
AA/SSS/SAS Similarity
Triangle Similarity
Proportions in Triangles
Mr. Irey
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
100
In triangle ABC, a line parallel to BC intersects sides AB and AC.
AB is split into 3 and 6.
AC is split into 4 and x.
Solve for x.
x=8
100
What year did Mr. Irey graduate high school?
2021
200
Solve for x.
x / 12 = 4 / 3
What is x?
x=16
200
State if the triangles are similar or not and then what similarity statement makes it so.
YES, by AA Similarity
200
Are these triangles similar?
Yes, SAS
200
Find y.
y=5
200
Who is still the best quaterback in the NFL :(
DRAKE MAYE
300
Given two similar triangles with sides 16 and 20, respectively, the scale factor of the smaller triangle to the larger triangle is?
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
300
ROCK PAPER SCISSORS
Win for points
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
In triangle ABC, AD bisects ∠A.
AB = 12
AC = 8
BD = 9
Find DC.
DC=6
400
What type of Energy Drink does Mr. Irey drink?
Bonus Points: If you know the flavor
Celcius (Blue Crush)
500
A triangle has a line parallel to its base that divides the sides proportionally.
One side is split into 6 and 9.
The other side is split into 8 and x.
Find x.
x=12
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
500
What does Mr. Irey have for lunch every day?
Bonus Points: If you can name all three items
Egg Burrito
Protein Bar
Protein Beef Stick