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

Last updated 4 days ago

33 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

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

Last updated 4 days ago

33 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.

Essential Question:
How can the Triangle Proportionality Theorem be used to find unknown segment lengths and solve real-world problems involving similar triangles?
Learning Target:

Students will be able to apply the Triangle Proportionality Theorem to identify proportional segments within triangles, set up and solve equations, and justify their reasoning in geometric problems.

Remember to show your work for credit. No work means 0 points.

Day 1 3/10/25

Required

Day 2 (3/11/25)

Triangle Proportionality

Required

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

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

Day 1 3/10/25

Day 2 (3/11/25)

Triangle Proportionality

Day 1 3/10/25

Concept Review: Creating and Solving Proportions

Day 2 (3/11/25)

Triangle Proportionality

Which of these is the correct proportion

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?

Using Triangle Proportionality Theorem to Solve Algebraic Equations

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications: Using Triangle to Find Distances

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?

Concept Review: Creating and Solving Proportions

Which of these is the correct proportion

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?

Using Triangle Proportionality Theorem to Solve Algebraic Equations

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications: Using Triangle to Find Distances

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?

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

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

Day 1 3/10/25

Day 2 (3/11/25)

Triangle Proportionality

Day 1 3/10/25

Concept Review: Creating and Solving Proportions

Day 2 (3/11/25)

Triangle Proportionality

Which of these is the correct proportion

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

Using Triangle Proportionality Theorem to Solve Algebraic Equations

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications: Using Triangle to Find Distances

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?

Concept Review: Creating and Solving Proportions

Which of these is the correct proportion

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

Using Triangle Proportionality Theorem to Solve Algebraic Equations

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Use the triangle proportionality to solve for x.

Triangle Applications: Using Triangle to Find Distances

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?

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?

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?