Download Chapter 10 - PAHSOLIVERMATH

Chapter 10 - Similarity
By: Ashley and Rachele
Section 10-1
• A proportion is a statement that two ratios are
equal.
• Example: a:b = c:d
• To prove 2 polygons similar, corresponding
angles must all be congruent and size must be
proportionate.
Section 10-2 Proving Triangles Similar
• AA, SAS, SSS
• If two angles of one triangle are congruent to two
angles of another triangle then the triangles are
similar. – AA
• If an angle of one triangle is congruent to an
angle of a second triangle, and the sides including
the two angles are proportional, then the
triangles are similar. – SAS
• If the corresponding sides of two triangles are
proportional, then the triangles are similar. - SSS
Section 10-3
• Geometric mean !
Section 10-4
proportions and similar triangles
Slide Splitter Proportions
Angle Bisector Proportion
Section 10-5 / 10-6
• Similarity ratios
2:6
1:3
Perimeter ratio
8 : 24
1 :3
Area ratio (in2)
4 : 36 (in3)
1:9
Volume ratio (in3)
8 : 216
1 : 27
Candy Geometry Land !
1. Which of the following is this showing?
A.SAS
B.SSS
C.AA
D.None
2. What is the geometric mean of 8 &
18 ?
A.+/- 12
B. 12
C. +/- 144
D. 144
3. Which of the following is this showing?
A.SAS
B.SSS
C.AA
D.None
4. Can you use SAS to prove that the
triangles pictured below similar?
A. Yes
B. No
5. What is the value of x?
A.18
B.2
C.3
D.24
6. Are the following polygons similar?
A. Yes
B. No
If you couldn’t get those, well that is
sad ): No offense!
LOOK AT THE BRIGHT SIDE YOUR HALF
WAY DONE WITH THE QUESTIONS (:
7.
8. Solve for the variables
9. If a 5 ft. 3in. man is casting a 6 ft.
shadow and a building is casting a 20
ft. shadow. How tall is the building?
Solve for x.
10.
EASY BONUS
SIKE!
BAM!, FIN.