Geometry 1-5 Complete Lesson: Exploring Angle Pairs

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Solve It!
Click here to open a copy of a tangram puzzle in Google Drawings:
Some pieces are already in place. Others must be dragged into place inside the frame on the left, possibly needing to be rotated, but not resized.
Complete the puzzle, take a screenshot, and add it to the canvas below using the image tool.

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Take Note: Define adjacent angles.
Sketch an example pair of adjacent angles on the canvas.

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Take Note: Define vertical angles.
Sketch an example pair of vertical angles on the canvas.

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Problem 1 Got It?

A

B

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Problem 1 Got It?

A

B

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Problem 1 Got It?

A

B

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Take Note: Classify each relationship on the left based on whether or not you can assume it to be true based on a diagram that has no marks or measures.

Angles are right.
Angles are vertical angles.
Angles are adjacent.
Segments are congruent to one another.
Angles are congruent to one another.
Angles are adjacent and supplementary.

Can assume to be true
Can NOT assume to be true

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Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Yes

No

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Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Yes

No

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Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Yes

No

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Problem 2 Got It?
Can you conclude that the first segment below bisects the second from the information in the diagram?
Use the text tool to explain your response on the canvas.

Yes

No

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Take Note: Define linear pair of angles.
Sketch an example pair of a linear pair of angles on the canvas.

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Take Note: Fill in the blank:
If two angles form a linear pair, then they are ?.

complementary

supplementary

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Problem 3 Got It?
How can you check your results from Problem 3?
Hint: A strategy for checking results was done by Mr. Richardson in the video.

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Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠ADB?

73

77

21

103

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Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠BDC?

21

73

103

77

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Take Note: Define angle bisector.
Sketch an example of and angle and an angle bisector on the canvas.

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Problem 4 Got It?

A

B

C

D

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A

B

C

D

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A

B

C

D

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B

C

D

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A

B

C

D

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Vocabulary: How does the term linear pair describe how the angle pair looks? You may use the canvas to illustrate your explanation.

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Error Analysis: Your friend calculated the value of x as shown.
What is her error?

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Error Analysis: What is the correct value of x? Enter only a number.

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SAT Prep:

A

B

C

D

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SAT Prep:

A

B

C

D

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Review Lesson 1-1: Draw a net for the box shown. Label each corner with its corresponding letter. Some letters will be repeated.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Explain: How can the repeated letters on the net help you visualize how the net folds into the solid?

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Review Lesson 1-4: Use the diagram below and classify the angles that follow as acute or obtuse.

\angle WXZ
\angle YXZ
\angle WXY

Acute
Obtuse

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Review Lesson 1-2: Sketch and label each of the following figures on the canvas.
\overrightarrow{GH}
\overline{CD}
\overleftrightarrow{AB}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Review Lesson 1-4: Sketch and label each of the following figures on the canvas.
acute \angle{ABC}
right \angle{PST}
straight \angle{XYZ}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Vocabulary Review: Use a word from the left to fill in the blank and correctly complete each sentence on the right.

rays
vertex
interior

The __?__ of an angle is the region containing all of the points between the two sides of the angle.
When you use three points to name the angle, the __?__ must go in the middle.
The sides of ∠QRS are __?__ RS and RQ.

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Vocabulary Review: Use the diagram below and classify each angle on the left as acute, right, obtuse, or straight.

\angle{TRS}
\angle{VRQ}
\angle{SRV}
\angle{TRQ}

Acute
Right
Obtuse
Straight

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Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
If it rains, you can ? that soccer practice will be canceled.
Enter only one word.

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Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
The last step of the proof is the ?.
Enter only one word.

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Use Your Vocabulary: Use the diagram below and match each angle pair with the word that best describes it.

Stavka koja se može prevući		Odgovarajuća stavka
\angle{2} and \angle{3}		complementary
\angle{2} and \angle{5}		adjacent
\angle{3} and \angle{6}		vertical
\angle{1} and \angle{2}		supplementary

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Reflection: Math Success

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Geometry 1-5 Complete Lesson: Exploring Angle Pairs

Take Note: Define adjacent angles.Sketch an example pair of adjacent angles on the canvas.

Take Note: Define vertical angles.Sketch an example pair of vertical angles on the canvas.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Classify each relationship on the left based on whether or not you can assume it to be true based on a diagram that has no marks or measures.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you conclude that the first segment below bisects the second from the information in the diagram?Use the text tool to explain your response on the canvas.

Take Note: Define linear pair of angles.Sketch an example pair of a linear pair of angles on the canvas.

Take Note: Fill in the blank: If two angles form a linear pair, then they are __?__.

Problem 3 Got It?How can you check your results from Problem 3? Hint: A strategy for checking results was done by Mr. Richardson in the video.

Problem 3 Got It?∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2. What is m∠ADB?

Problem 3 Got It?∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2. What is m∠BDC?

Take Note: Define angle bisector.Sketch an example of and angle and an angle bisector on the canvas.

Problem 4 Got It?

Vocabulary: How does the term linear pair describe how the angle pair looks? You may use the canvas to illustrate your explanation.

Error Analysis: Your friend calculated the value of x as shown. What is her error?

Error Analysis: What is the correct value of x? Enter only a number.

SAT Prep:

SAT Prep:

Review Lesson 1-1: Draw a net for the box shown. Label each corner with its corresponding letter. Some letters will be repeated.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Explain: How can the repeated letters on the net help you visualize how the net folds into the solid?

Review Lesson 1-4: Use the diagram below and classify the angles that follow as acute or obtuse.

Review Lesson 1-2: Sketch and label each of the following figures on the canvas. \overrightarrow{GH}\overline{CD}\overleftrightarrow{AB}You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-4: Sketch and label each of the following figures on the canvas.acute \angle{ABC}right \angle{PST}straight \angle{XYZ}You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Vocabulary Review: Use a word from the left to fill in the blank and correctly complete each sentence on the right.

Vocabulary Review: Use the diagram below and classify each angle on the left as acute, right, obtuse, or straight.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.If it rains, you can __?__ that soccer practice will be canceled. Enter only one word.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.The last step of the proof is the __?__. Enter only one word.

Use Your Vocabulary: Use the diagram below and match each angle pair with the word that best describes it.

Reflection: Math Success

Take Note: Define adjacent angles.Sketch an example pair of adjacent angles on the canvas.

Take Note: Define vertical angles.Sketch an example pair of vertical angles on the canvas.

Take Note: Define complementary angles.Sketch an example pair of complementary angles on the canvas.

Take Note: Define supplementary angles.Sketch an example pair of supplementary angles on the canvas.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Classify each relationship on the left based on whether or not you can assume it to be true based on a diagram that has no marks or measures.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you make the conclusion from the information in the diagram?Use the text tool to explain your response on the canvas.

Problem 2 Got It?Can you conclude that the first segment below bisects the second from the information in the diagram?Use the text tool to explain your response on the canvas.

Take Note: Define linear pair of angles.Sketch an example pair of a linear pair of angles on the canvas.

Take Note: Fill in the blank: If two angles form a linear pair, then they are __?__.

Problem 3 Got It?How can you check your results from Problem 3? Hint: A strategy for checking results was done by Mr. Richardson in the video.

Problem 3 Got It?∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2. What is m∠ADB?

Problem 3 Got It?∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2. What is m∠BDC?

Take Note: Define angle bisector.Sketch an example of and angle and an angle bisector on the canvas.

Problem 4 Got It?

Vocabulary: How does the term linear pair describe how the angle pair looks? You may use the canvas to illustrate your explanation.

Error Analysis: Your friend calculated the value of x as shown. What is her error?

Error Analysis: What is the correct value of x? Enter only a number.

SAT Prep:

SAT Prep:

Review Lesson 1-1: Draw a net for the box shown. Label each corner with its corresponding letter. Some letters will be repeated.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Explain: How can the repeated letters on the net help you visualize how the net folds into the solid?

Review Lesson 1-4: Use the diagram below and classify the angles that follow as acute or obtuse.

Review Lesson 1-2: Sketch and label each of the following figures on the canvas. \overrightarrow{GH}\overline{CD}\overleftrightarrow{AB}You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-4: Sketch and label each of the following figures on the canvas.acute \angle{ABC}right \angle{PST}straight \angle{XYZ}You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Vocabulary Review: Use a word from the left to fill in the blank and correctly complete each sentence on the right.

Vocabulary Review: Use the diagram below and classify each angle on the left as acute, right, obtuse, or straight.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.If it rains, you can __?__ that soccer practice will be canceled. Enter only one word.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.The last step of the proof is the __?__. Enter only one word.

Use Your Vocabulary: Use the diagram below and match each angle pair with the word that best describes it.

Reflection: Math Success

Take Note: Define complementary angles.Sketch an example pair of complementary angles on the canvas.

Take Note: Define supplementary angles.Sketch an example pair of supplementary angles on the canvas.

Take Note: Define adjacent angles.
Sketch an example pair of adjacent angles on the canvas.

Take Note: Define vertical angles.
Sketch an example pair of vertical angles on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you conclude that the first segment below bisects the second from the information in the diagram?
Use the text tool to explain your response on the canvas.

Take Note: Define linear pair of angles.
Sketch an example pair of a linear pair of angles on the canvas.

Take Note: Fill in the blank:
If two angles form a linear pair, then they are ?.

Problem 3 Got It?
How can you check your results from Problem 3?
Hint: A strategy for checking results was done by Mr. Richardson in the video.

Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠ADB?

Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠BDC?

Take Note: Define angle bisector.
Sketch an example of and angle and an angle bisector on the canvas.

Error Analysis: Your friend calculated the value of x as shown.
What is her error?

Review Lesson 1-1: Draw a net for the box shown. Label each corner with its corresponding letter. Some letters will be repeated.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-2: Sketch and label each of the following figures on the canvas.
\overrightarrow{GH}
\overline{CD}
\overleftrightarrow{AB}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-4: Sketch and label each of the following figures on the canvas.
acute \angle{ABC}
right \angle{PST}
straight \angle{XYZ}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
If it rains, you can ? that soccer practice will be canceled.
Enter only one word.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
The last step of the proof is the ?.
Enter only one word.

Take Note: Define adjacent angles.
Sketch an example pair of adjacent angles on the canvas.

Take Note: Define vertical angles.
Sketch an example pair of vertical angles on the canvas.

Take Note: Define complementary angles.
Sketch an example pair of complementary angles on the canvas.

Take Note: Define supplementary angles.
Sketch an example pair of supplementary angles on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you make the conclusion from the information in the diagram?
Use the text tool to explain your response on the canvas.

Problem 2 Got It?
Can you conclude that the first segment below bisects the second from the information in the diagram?
Use the text tool to explain your response on the canvas.

Take Note: Define linear pair of angles.
Sketch an example pair of a linear pair of angles on the canvas.

Take Note: Fill in the blank:
If two angles form a linear pair, then they are ?.

Problem 3 Got It?
How can you check your results from Problem 3?
Hint: A strategy for checking results was done by Mr. Richardson in the video.

Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠ADB?

Problem 3 Got It?
∠ADB and ∠BDC are a linear pair. m∠ADB = 3x + 14 and m∠BDC = 5x - 2.
What is m∠BDC?

Take Note: Define angle bisector.
Sketch an example of and angle and an angle bisector on the canvas.

Error Analysis: Your friend calculated the value of x as shown.
What is her error?

Review Lesson 1-1: Draw a net for the box shown. Label each corner with its corresponding letter. Some letters will be repeated.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-2: Sketch and label each of the following figures on the canvas.
\overrightarrow{GH}
\overline{CD}
\overleftrightarrow{AB}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Review Lesson 1-4: Sketch and label each of the following figures on the canvas.
acute \angle{ABC}
right \angle{PST}
straight \angle{XYZ}
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
If it rains, you can ? that soccer practice will be canceled.
Enter only one word.

Use Your Vocabulary: Complete the sentence by typing either the word conclude or conclusion in the response field.
The last step of the proof is the ?.
Enter only one word.

Take Note: Define complementary angles.
Sketch an example pair of complementary angles on the canvas.

Take Note: Define supplementary angles.
Sketch an example pair of supplementary angles on the canvas.