The matching parts of similar figures
corresponding
What does it mean to have lines that are parallel?
They have the same slope
or
They never touch
If these two triangles are similar...
x= ?
x= 13.5
The similarity theorem for these triangles:
AA Similarity Theorem
Are these two triangles similar?
Yes
Two figures that have the same shape but different sizes
similar
x= ?
x= 12
Find DE
DE= 18
The similarity theorem where two sides of a pair of triangles are proportional and the angle in between the sides is congruent.
SAS Similarity Theorem
What is the reasoning for #3?
AA Similarity
The ratio between corresponding measures
scale factor or similarity ratio
z=?
ED=6
Find the measure of angle E
Angle E=110 degrees
If (AB/DB) = (EB/CB) what theorem proves that these two triangles are similar?
SAS similarity
If triangle ABC ~ triangle XYZ by a scale factor of 1/3 YZ=?
YZ= 4
If two triangles are similar then their sides are...
Proportional
DE || AC
AB=?
AB= 44.8
Find AB
AB= 40
These triangles are similar by what similarity theorem and what is their scale factor?
SSS similarity
Scale factor: 10 or 1/10
Name the similarity theorem for these statements.
SSS Similarity
Two equivalent ratios
Proportion/ proportionality
DE || AB
x=?
x=9
Find x
x= 14
Similarity where only two pairs of proportional sides of a pair of triangles are given.
The triangles are not similar
How tall is the person? (feet, inches)
4 feet 4 inches