Download 13.2 notes.ans 2012.notebook

13.2 notes.ans 2012.notebook
Geometry
April 17, 2012
Date: ________
13.2 AA & SAS Similarity Theorem
AA Similarity Theorem:
If two angles of one triangle are congruent to two angles of another, then the triangles are similar.
SAS Similarity Theorem:
If, in two triangles, the ratios of two pairs of corresponding sides are equal and the included angles are congruent, then the triangles are similar.
13.2 notes.ans 2012.notebook
April 17, 2012
Examples:
Determine whether or not the triangles in each pair are similar. If so, write a similarity statement and justify with a theorem. 1.
a.
c.
b.
d.
13.2 notes.ans 2012.notebook
April 17, 2012
2.
A man standing 5 meters from a 6 meter pole casts a 2.5 meter shadow, the tip of which aligns with the tip of the pole's shadow. How tall is the man? 3.
The foot of a ladder is 1.2 meters from a 1.8 meter high fence and rests against a building 1.8 meters behind the fence.
a.
Draw a diagram of the situation.
b.
Determine how far up the building the top of the ladder can reach.
c.
How long is the ladder?