Chapter 8 Review

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• Pg 520-521 121 all Pg 483 917, 1826 even,
  41, 56, 57

2
Chapter 8 Review
3
To help with units (just write the ones you
dont know. 1 ft 12 in, 3 ft 1 yard 5280 ft
1 mi, 100 cm 1 m 1000 g 1 kg, 16 oz 1
lb 1000 m 1 km Generally, Id convert to
smaller units
4
When you equate to ratios, its called a
proportion.
Extremes First and last terms Means Middle
terms
Cross-product property
5
A miniature goat is 12 inches tall, while a
regular goat is 42 inches tall.
If a miniature goats leg is 2 inches tall, how
tall is the real goats leg?
If a real goat body is 50 inches long, then how
long is the body of a miniature goat?
6
N
O
M
L
E
NO OL NL NM ME NE
6 16 24
18 24 3
4 2 8
6 9 12
7
AA Similarity Postulate If two angles of one
triangle are congruent to two angles of another
triangle, then the triangles are similar.
B
B
A
A
C
C
8
A
C
B
D
E
F
9
Are these triangles?
Are these triangles similar?
No, theyre squares genius
22.5
12
12
16
12
9
12
30
16
16
NO! No A thrm.
Yes, SSS Thrm. 34
Yes, SAS Thrm. VAT, 34
10
Similar? Yes? No? Why?
500
12
15
400
16
20
500
900
10
8
11
Man and his shadow, measuring tall buildings.
More tall buildings, with a 200 feet piece of
string.
12
D
C
M
B
A
L
Triangle Proportionality Theorem If a line is
parallel to one side of a triangle and intersects
the other two sides, then it divides those sides
proportionally.
6
3
2
x
Converse of Triangle Proporitionality Theorem -
If the sides are proportional, then the lines are
parallel.
13
Theorem If three lines intersect two
transversals, then they divide the transversals
proportionally.
R
X
S
Y
T
Z
Triangle Angle-Bisector Thrm If a ray bisects
an angle of a triangle, then it divides the
opposite side into segments proportional to the
other two sides.
F
G
D
E
Suggestion, memorize this one in the way that
makes the most sense to you.
14
x
8
12
20
15
Identify scale factor, state if its a reduction
or enlargement (double checking), find unknown
variables.
O
6
2
B
30o
4
A
2x
C
Enlargement (this should match up with scale
factor)
B
4y
A
(2z)o
Find x, y, z
18
C
x 3 y 3 z 15
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• Pg 520-521 121 all Pg 483 917, 1826 even,
  41, 56, 57

17

• 5 13
• Wheelchair ramp, convert units
• What shows similarity?
• Scale Factor
• Similar? Similarity, match up letters
• Similar triangles word problem, shadows
• Similarity theorems
• Word problem, lake width
• Parallel lines, transversal
• Scale factor with percentages