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2.5 Angle Relationships

Investigation #1

1. Use the angle tool to measure one linear pair of angles in the diagram below. 2. Use the arrow tool the click and drag point D to change the angle measures. 3. Complete the questions below the figure based on your observations.

Use this figure for Investigation #1 and Investigation #2.

Observation

Which of the following statements is always true about the linear pair of angles?

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  • A
  • B
  • C
  • D
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C-1 The Linear Pair Conjecture

If two angles form a linear pair, then they are _____.

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  • A
  • B
  • C
  • D
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Investigation #2

1. Use the arrow tool to select and then delete one of your 2 angle measures. 2. Use the angle tool to measure the angle that is vertical to the angle measure that is left. 3. Click and drag point D to change the angle measures. 4. Complete the questions below based on your observations

Observation

Which of the following statements is always true about the pair of vertical angles?

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  • A
  • B
  • C
  • D
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C-2 Vertical Angles Conjecture

If two angles are vertical angles, then they are _____.

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  • A
  • B
  • C
  • D
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