Are they similar?
Dilation and Scale Factor
Parts of Similar Triangles
Solving for sides of similar shapes
Proportions with Parallel lines
100
Are the triangles similar? If so by what theorem? (Bonus if you can get the similarity statement right)
yes, AA
Triangle HFG similar to Triangle HJK
100
Going from left to right is this an enlargement or reduction?
reduction
100
The two triangles are similar. What is the value of x?
x=11
100
Quadrilateral MNPQ~RSTU. Which angle is congruent to M and write one ratio that is proportional to ST/NP?
R is congruent to M
Any of the following:
SR/NM
RU/MQ
TU/PQ
100
If AB=6, BC=4, and AE=9, what is the length of ED?
ED=6
200
Are the two triangles similar? If so by what theorem?
NO
200
Going from the blue to the green what is the scale factor?
3
200
If triangle RST~ triangle EFG and ST=6, SH=5, and FJ=7, what is FG?
FG= 8.4
200
The polygons are similar. What is the value of x.
x=7
200
Find the value of x.
x=5
300
Are the two triangles similar? If so by what theorem?
Not enough information
300
What are the new set of points if A(1,0), B(4,2), and C(-3, 7) are dilated by a scale factor of k=0.25?
A'(0.25, 0)
B'(1, 1/2)
C'(-0.75, 1.75)
300
If AB=4, BD=3, and FG=6 then what is GK?
GK=4.5
300
The two triangles are similar. Triangle ABC is similar to triangle DBE. What is the length of AC?
16
300
If NL=3, KL=12, and KJ=16, what is KP?
x=12
400
Are the two triangles similar? If so by what theorem and write the similarity statement.
yes by AA, triangle BAE is similar to triangle CDE
400
What is the scale factor from A(2,3) to A'(5/3, 5)?
k=5/3
400
The perimeter of triangle PQR is 94 units. Find PS and SR. Round to the nearest tenth if necessary.
SR=24
PS=18.4
400
These two sailboats are similar. What is the value of x? Round your answer to the nearest tenth if necessary.
202.2 in
400
Solve for x.
x=4
500
Which (if any) set of triangles are similar by SAS?
UVW similar to RST AND
TSU similar to QSR
500
A corporate logo is a rhombus centered on a regular hexagon. The logo will be dilated 350% to be printed on a banner. What is the perimeter of the hexagon on the banner?
84 cm
500
What is the length of XC? Round to the nearest tenth if necessary.
x=5.1
500
A cell phone tower casts a shadow that is 100 feet long. At the same time, Lia stands near the tower and casts a shadow that is 3 feet 4 inches long. If Lia is 4 feet 6 inches tall, how tall is the cell phone tower in feet? Round to the nearest tenth if necessary.
135 feet
500
Find the values of x AND y.
y=2
x=3