Essential Question: When a line parallel to one side of a triangle intersects the other two
sides, how does it divide those sides?
Learning Target: Students will be able to determine the dimension of two nested triangles when their bases are parallel.
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A music store has 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and
16 trombones in stock.
Write each ratio in simplest form.
trumpets to violins
write it as a fraction
flutes to clarinets
write it as a fraction
trombones to trumpets
write it as a fraction
violins to total instruments
write it as a fraction
Write this ratio in simplest form.
The hockey team played 82 regular-season games last year. If they won 44 games, what is the ratio of wins to losses?
Ratio of wins to losses
Write this ratio in simplest form.
In the word FLASHLIGHT what is the ratio of vowels to total letters?
Ratio of vowels to total letters
After cross multiplying this proportion, what is the result?
Solve for x
x=
After cross multiplying this proportion, what is the result?
Solve for x
x=
After cross multiplying this proportion, what is the result?
Solve for x
x=
After cross multiplying this proportion, what is the result?

Solve for x
x=
Which of these is the correct proportion
Use the triangle proportionality to create a proportion to solve for x
Solve for x
Use the triangle proportionality to create a proportion to solve for x
Solve for x
Use the triangle proportionality to create a proportion for KL
Use x to represent the unknown length
Find the the length of each segment.
KL=
Use the triangle proportionality to create a proportion for XZ
Find the length of XZ
On the map, 5th Avenue, 6th Avenue, and 7th Avenue are parallel. What is the length of Main Street between 5th Avenue and 6th Avenue?
Use the triangle proportionality to solve for x.
Use the triangle proportionality to solve for x.
Use the triangle proportionality to solve for x.
Use the triangle proportionality to solve for x and find the indicated sides.
x=
DC=
Use the triangle proportionality to solve for x and find the indicated sides.
x=
WX=
Use the triangle proportionality to solve for x.
x=
Use the triangle proportionality to solve for x.
x=
If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the height of the tree.
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the flagpole. How tall is the tree?
Find the width of the Brady River.
To find the height of a bridge that connects two buildings, a man 6 feet tall stands at one end and looks down to the ground at the other end. Using the distances marked in the figure below, find the height of the bridge.
Alexa who is 5.87 ft tall, is standing at the top of a 138 ft tall cliff. The top of the cliff can be seen from 47 feet away. How far (x) away from the cliff does someone needs to swim to see the top of Alexa's head?
The water in the ocean is 2 ft deep, 5 ft away from the land. How deep (x) is the water at 12 ft away from the land?