7.5 Triangle Proportionality Theorem (Due 4/15/22)

Last updated about 1 year ago

23 questions

Note from the author:

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.

Completed the entire document and show all work for full credit.

Instructions

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.

Completed the entire document and show all work for full credit.

Required

7.5 Triangle Proportionality Theorem (Due 4/15/22)

Last updated about 1 year ago

23 questions

Note from the author:

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.

Completed the entire document and show all work for full credit.

Instructions

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.

Completed the entire document and show all work for full credit.

Day 1 4/14/22

Concept Review

Required

Write the ratio in simplest form:

25 elementary schools to 10 middle schools

After cross multiplying this proportion, what is the result?

Triangle Proportionality

Required

Which of these is the correct proportion

Required

Use the triangle proportionality to solve for x.

Required

Use the triangle proportionality to solve for x.

Required

Use the triangle proportionality to create a proportion to solve for x.

Required

Use the triangle proportionality to solve for x.

Required

Use the triangle proportionality to solve for x.

Required

Find the length of XZ

Required

Use the triangle proportionality to solve for x.

Required

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?

Day 2 (4/15/22)

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=_______

Required

Use the triangle proportionality to solve for x.

Required

Use the triangle proportionality to solve for x.

Triangle Applications

Required

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.

Required

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.

Required

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?

Required

Find the width of the Brady River.

Required

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.

Required

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?

Required

7.5 Triangle Proportionality Theorem (Due 4/15/22)

7.5 Triangle Proportionality Theorem (Due 4/15/22)

Day 1 4/14/22

Concept Review

Write the ratio in simplest form:25 elementary schools to 10 middle schools

After cross multiplying this proportion, what is the result?

Triangle Proportionality

Which of these is the correct proportion

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to create a proportion to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Find the length of XZ

Use the triangle proportionality to solve for x.

On the map, 5th Avenue, 6th Avenue, and 7th Avenue are parallel. What is the lengthof Main Street between 5th Avenue and 6th Avenue?

Day 2 (4/15/22)

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications

If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find theheight of the tree.

A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow onthe 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 shorterthan the pole. At a certain time, their shadows end at the same point 60 ft from the base of theflagpole. 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?

Day 1 4/14/22

Concept Review

Write the ratio in simplest form:25 elementary schools to 10 middle schools

After cross multiplying this proportion, what is the result?

Triangle Proportionality

Which of these is the correct proportion

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to create a proportion to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Find the length of XZ

Use the triangle proportionality to solve for x.

On the map, 5th Avenue, 6th Avenue, and 7th Avenue are parallel. What is the lengthof Main Street between 5th Avenue and 6th Avenue?

Day 2 (4/15/22)

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications

If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find theheight of the tree.

A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow onthe 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 shorterthan the pole. At a certain time, their shadows end at the same point 60 ft from the base of theflagpole. 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?

Write the ratio in simplest form:

25 elementary schools to 10 middle schools

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?

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?

Write the ratio in simplest form:

25 elementary schools to 10 middle schools

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?

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?