HG U4D4 Shadow Math Sept23

Last updated about 1 year ago

17 questions

1

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HG U4D4 Shadow Math Sept23

Last updated about 1 year ago

17 questions

1

Draggable item		Corresponding Item

1

Determine if the triangles are similar. If so, state the similarity transformations.
Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a scale factor to resize one shape to the other.

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Click on the link to play the video:
https://gpb.pbslearningmedia.org/resource/mket-math-rp-slugger/similar-figures-in-the-real-world/?student=true&focus=true

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Shadow Problem
There is a pine tree that may be too close to Jamal’s house. He can’t physically measure the tree, but he thinks it may hit his house someday. He is 6 feet tall and has a shadow that is 4 feet. At the same time of day, the tree casts a shadow that is 28 feet.

Use the GeoGebra tool to set an example.
https://www.geogebra.org/m/tbmdvzfj

1

Another Shadow Problem
Cathy is thinking of getting a tree planted in her yard to block the view of the new streetlight that her neighborhood is having installed. She is 5’ 6” tall and she makes an 8’ shadow with the ground. At the same time of day, the new streetlight makes a 24’ shadow with the ground.

Use the GeoGebra tool to set an example.
https://www.geogebra.org/m/tbmdvzfj

1

Which statement provides a valid justification for why all circles are similar?

All circles have the same shape - a circle - so they must be similar.

All circles have no angles and no sides, so they must be similar.

I can translate any circle exactly onto another, so they must be similar.

I can translate the center of any circle to the center of another, and dilate from that center by an appropriate scale factor, so they must be similar.

Select all true statements given that angle AED is congruent to angle ABC.

Which pair of polygons is similar? (Select all that apply)

Draggable item		Corresponding Item

Select all sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.
(Select all that apply.)

Determine if the triangles are similar. If so, state the similarity transformations.
Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a scale factor to resize one shape to the other.

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Determine if the triangles are similar. If so, state the similarity transformations.

1

If they are similar, complete the triangle similarity statement.
_______ 

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Determine if the triangles are similar. If so, state the similarity transformations.

1

If they are similar, complete the triangle similarity statement.
_______ 

Click on the link to play the video:
https://gpb.pbslearningmedia.org/resource/mket-math-rp-slugger/similar-figures-in-the-real-world/?student=true&focus=true

Determine if the triangles are similar. If so, state the similarity transformations.

Similarity transformation - What transformations (translation, reflection, rotation) would you use to move one similar shape onto the other. A similarity transformation ends with a dilation by a scale factor to resize one shape to the other.

1

Determine if the triangles are similar. If so, state the similarity transformations.

1

If they are similar, complete the triangle similarity statement.
_______ 

Shadow Problem
There is a pine tree that may be too close to Jamal’s house. He can’t physically measure the tree, but he thinks it may hit his house someday. He is 6 feet tall and has a shadow that is 4 feet. At the same time of day, the tree casts a shadow that is 28 feet.

Use the GeoGebra tool to set an example.
https://www.geogebra.org/m/tbmdvzfj

1

Draw and label a picture to represent this scenario. Using the measurements, determine the height of the tree.

1

If the base of the tree is 80 feet from the house, will it hit the house if it falls? Justify your answer.

Another Shadow Problem
Cathy is thinking of getting a tree planted in her yard to block the view of the new streetlight that her neighborhood is having installed. She is 5’ 6” tall and she makes an 8’ shadow with the ground. At the same time of day, the new streetlight makes a 24’ shadow with the ground.

Use the GeoGebra tool to set an example.
https://www.geogebra.org/m/tbmdvzfj

1

Draw a picture to represent the situation.

1

How tall is the streetlight?

1

Will getting a tree to block the streetlight be reasonable based on the height?

Which statement provides a valid justification for why all circles are similar?

All circles have the same shape - a circle - so they must be similar.

All circles have no angles and no sides, so they must be similar.

I can translate any circle exactly onto another, so they must be similar.

I can translate the center of any circle to the center of another, and dilate from that center by an appropriate scale factor, so they must be similar.

Select all true statements given that angle AED is congruent to angle ABC.

Angle ACB is x degrees.

Angle ACB is (180 - x) degrees.

Triangle ACB is similar to triangle ADE.

Which pair of polygons is similar? (Select all that apply)

Select all sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.
(Select all that apply.)

Determine if the triangles are similar. If so, state the similarity transformations.

If they are similar, complete the triangle similarity statement.
_______ 

Determine if the triangles are similar. If so, state the similarity transformations.

If they are similar, complete the triangle similarity statement.
_______ 

Determine if the triangles are similar. If so, state the similarity transformations.

If they are similar, complete the triangle similarity statement.
_______ 

HG U4D4 Shadow Math Sept23

HG U4D4 Shadow Math Sept23

Which statement provides a valid justification for why all circles are similar?

Select all true statements given that angle AED is congruent to angle ABC.

Which pair of polygons is similar? (Select all that apply)

Select all sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.(Select all that apply.)

Determine if the triangles are similar. If so, state the similarity transformations.

Determine if the triangles are similar. If so, state the similarity transformations.

Determine if the triangles are similar. If so, state the similarity transformations.

Draw and label a picture to represent this scenario. Using the measurements, determine the height of the tree.

If the base of the tree is 80 feet from the house, will it hit the house if it falls? Justify your answer.

Draw a picture to represent the situation.

How tall is the streetlight?

Will getting a tree to block the streetlight be reasonable based on the height?

Determine if the triangles are similar. If so, state the similarity transformations.

Determine if the triangles are similar. If so, state the similarity transformations.

Determine if the triangles are similar. If so, state the similarity transformations.

Draw and label a picture to represent this scenario. Using the measurements, determine the height of the tree.

If the base of the tree is 80 feet from the house, will it hit the house if it falls? Justify your answer.

Draw a picture to represent the situation.

How tall is the streetlight?

Will getting a tree to block the streetlight be reasonable based on the height?

Select all sequences of transformations that would show that triangles ABC and AED are similar. The length of AC is 6 units.
(Select all that apply.)