Questions and Answers
What is a vertical angle?
Angles that are opposite from each other but are congruent.
What are adjacent angles?
Angles that have a vertex and a common side; they are supplementary.
What does it mean to be a supplementary angle?
Two angles that add up to equal 180.
What does it mean to be a congruent angle?
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What is the symbol for a congruent angle?
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What does it mean to be a complementary angle?
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Complementary angles make right angles.
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What type of angle is this: 70 + 110 = ?
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What type of angle is this: 84 + 6 = ?
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What type of angle is this: 34 = 34?
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If this is a vertical angle and a = 46, what does b = ?
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If this is an adjacent angle and d = 34, what does e = ?
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Study Notes
Angle Definitions
- Vertical angles are pairs of angles that are opposite each other and are congruent (equal in measure).
- Adjacent angles share a common vertex and a side, and they are supplementary, meaning their measures add up to 180 degrees.
Angle Relationships
- Supplementary angles sum to 180 degrees.
- Complementary angles sum to 90 degrees.
- Congruent angles are equal in degree measure.
Symbols and Properties
- The symbol for congruent angles is ≅.
- A pair of angles that are complementary will create a right angle.
Angle Examples
- Supplementary angle example: 70° + 110° = 180° (qualifies as adjacent).
- Complementary angle example: 84° + 6° = 90°.
- Congruent angle example: 34° = 34° (indicates vertical angles).
Angle Equations
- For vertical angles, if angle a = 46°, then angle b also equals 46°.
- For adjacent angles, if angle d = 34°, then angle e must equal 146° since they are supplementary.
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Description
This quiz covers essential concepts related to vertical, adjacent, complementary, and supplementary angles. Each card presents definitions and explanations to help reinforce your understanding of these geometric principles. Perfect for students looking to strengthen their knowledge in geometry.
