Ratios & Proportions
AA/SSS/SAS Similarity
Triangle Similarity
Proportions in Triangles
Mrs. Doten
100
Solve for x:
x/30 = 4/5
x = 24
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 triangle TSR ~ DCB
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 state did Mrs. Doten live in (other than Illinois)?
Washington
200
Solve for x.
2/3 = (x+3)/(4x)
x=3
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? If so, complete the similarity statement.
Yes, triangle DCB
200
Find y.
y=5
200
What is Mrs. Doten's dog's name?
Dewey
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
What is Mrs. Doten's favorite math subject?
Calculus
400
The ratio of the measures of the three angles in a triangle is 10:3:7. Find the measure of the largest angle.
90o
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
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, respectively.
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