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
Draw two similar triangles by SAS Theorem.
(must be corrected by the teacher and/or friends)
In the real life example of similar triangles using shadows, what is the theorem (case) of similarity of the triangles formed?
AA Similarity Theorem

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 in similar triangles' sides.
Proportion/ proportionality

Is DE parallel to AB?
No
Find x
x= 4.8
Similarity where only two pairs of proportional sides in a pair of triangles are given.
The triangles are not similar. Must be given one more side OR one angle.
How tall is the person? (feet, inches)
4.3333...