This is a figure with three sides and three angles
triangle
x= 12
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
Figures that have the same shape but different sizes are
similar
Yes
What value of x would make the two triangles similar?
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 figures.
scale factor
x=?
x=8
The missing side is 7.
What theorem proves that these two triangles are similar?
AA similarity
If triangle ABC ~ triangle XYZ by a scale factor of 1/3 YZ=?
YZ= 4
If two triangles are similar then their angles are
congruent
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 similarity theorem for these triangles.
SAS Similarity
A relationship that is always the same ratio
Proportion/ proportionality
Is DE parallel to AB?
No
Find x
x= 4.8
Similarity shortcut where only two pairs of proportional sides in a pair of triangles are given.
The triangles are not similar. There is no shortcut
How tall is the person? (feet, inches)
4 feet 4 inches