What is a polygon?
Closed figure formed by sides, must have at least three sides
What are the three "shortcuts" that we can use to determine if triangles are similar?
SSS, SAS, AA
Complete the proportion:
AD/AB = ?/AC
AE
What does it mean to be Parallel?
Lines that will never intersect
Complete the Proportion:
AB/AC = DE/?
DF
What is Perimeter?
The sum of the sides of a shape
What two characteristics must polygons have in order to be considered similar?
1) Congruent Angles
2) Proportional Sides
The following triangles are similar. Finish the similarity statement, Triangle LFO is similar to Triangle ...
Triangle IHT
Find X.
x = 3.75
What proportion must be true for DE to be Parallel to BC.
AD/DB = AE/EC
Complete the proportion:
BC/AC = ?/DF
EF
Find the value of x.
x = 3
Determine if the polygons are similar.
Yes the polygons are similar.
The triangles are similar by what shortcut?
AA
X = 10/3 or 3.333
Determine if EB is parallel to DC.
Not Parallel
complete the proportion:
AB/? = DE/EF
BC
Given the perimeter find x, y, and z.
x = 3, y = 2.5, and z = 2
Determine if the polygons are similar.
Not similar.
Which shortcut would you use to determine if the following triangles are similar?
SSS
Find x.
x = 11
Determine if DE is parallel to CB.
Yes, DE is parallel to CB.
Solve for x.
x = 7.5
Determine Scale factor of Triangle STU to Triangle PQR
2/3
Determine if the polygons are similar.
Yes they are similar!
Determine if the triangles are similar and state the shortcut you used to determine.
Not Similar
Find x.
x = 19/2 or 9.5
Determine if PQ is parallel to FE.
Not Parallel
x = 1.5
Determine the scale factor of Triangle PQR to Triangle STU
3/2