Ratios & Proportions
AA/SSS/SAS Similarity
Triangle Similarity
Proportions in Triangles
Mystery
Final Jeopardy
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
Find y.
y=5
100
Congruent triangles are always similar triangles.
True or False
True
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 b.
b=30
200
What is the measure of segment DE?
DE = 36
300
DAILY DOUBLE: 600 POINTS
Given two equilateral triangles with sides 16 and 20, respectively, the scale factor of the larger triangle to the smaller triangle
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
Given the angle bisector, solve for x.
x=5
300
Which transformations preserve distance?
Dancing Double: Move to 1st place
Translations, reflections, and rotations.
400
Solve for x.
2/3 = (x+3)/(4x)
x=9/5 or 1.8
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
400
DONATING DOUBLE: Correct answer and you get the points and the team with the lowest points gets 400 too!
The diagram is an example of this type of segment.
What is an Altitude?
500
△ABC ~△DEF, find AC?
AC=7cm
500
State if the triangles are similar or not and then what similarity statement makes it so.
DEVIOUS DOUBLE: YOU GET 500 AND TAKE 500 FROM ANOTHER TEAM.
YES, by SAS Similarity
500
Are the triangles similar? If so, complete the similarity statement.
NOT SIMILAR
500
How tall is the person? (feet, inches)
4 feet 4 inches
500
Can you prove congruence? If so, write a triangle congruence statement and state which theorem you are using.
△DEF ≅ △HIG by SAS
500
Our geometry class went outside to measure the height of our school’s flagpole. A student who is 5.5 feet tall stands up straight and casts a shadow that is 11 feet long. At the same time a flagpole casts a shadow that is 40 feet long. Draw a diagram to represent the situation and determine the height of the flagpole.
height = 20ft