Ratios & Proportions
AA/SSS/SAS Similarity
Triangle Similarity
Proportions in Triangles
Geometry Grab Bag
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 by SSS?
All 3 pairs of corresponding sides must be proportional.
100
Solve for x given that triangle TSR is similar to triangle DCB.
x=11
100
Solve for X:
△ABC ~△DEF
AB = 14 DE =21
BC = 20 EF = X
x = 30
100
2 pairs of congruent triangles are always similar to each other - True or False. Explain.
True
200
△ABC ~△DEF
BC=25, AB=5, DE=6
What is the length of the missing ratio EF?
EF=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
200
What is the distance between the following points
A (1, 4) and B (4, 8)
AB = 5
300
△ABC ~△DEF
BC = 8x - 20
EF = 20
AB = 5
DE = 10
X? BC?
x = 3.75, BC = 10
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
True or False: All rhombuses are special squares.
FALSE - the other way around :)
400
Solve for x.
2/3 = (x+3)/(4x)
x=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
Name the BLUE segment in the picture below:
What is an Altitude?
500
△ABC ~△DEF, find AC?
AB = 110
DE = 20
DF = 28
AC = 14x + 7
AC = 154
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
△ABC ~△DEF
AB=15, DE=16
What is the length of the missing ratio of DF if
AC = 67.5
DF = 72
500
Can you prove congruence? If so, write a triangle congruence statement and state which theorem you are using.
△DEF ≅ △HIG by ASA
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 on the ground that is 11 feet long. At the same time a flagpole casts a shadow that is 36 feet long. Draw a diagram to represent the situation and determine the height of the flagpole if you know the two triangles are similar.
height = 18ft