Transcript 8.2: Problem Solving in Geometry with Proportions

8.2
Problem Solving in Geometry
with Proportions
Extra Example 1
Tell whether the statement is true.
s 15
s 3
3 5
3x 5y
a. If
 , then  .
b. If  , then

.
10
t
t 2
x y
x
y
Checkpoint
Tell whether the statement is true.
If
3 d
3b d 7
 , then

.
b 7
d
b
Extra Example 2
MQ LQ

. Find LQ.
In the diagram
MN LP
Checkpoint
LM MQ
In the diagram

. Find PN.
PN NQ
Extra Example 3
Find the geometric mean between 35 and 175.
Checkpoint
Find the geometric mean between 36 and 128.
Extra Example 4
You are building a scale model of your uncle’s fishing boat.
The boat is 62 ft long and 23 ft wide. The model will be 14
in. long. How wide should it be?
Checkpoint
The mast of your uncle’s fishing boat from Extra Example 4
is 30 feet tall. How tall should the mast be in the model?