Geometry Chapter 7 Lesson 1 Angles
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Questions and Answers

What is a vertex?

A point where two or more straight lines meet.

What is a right angle?

An angle that measures exactly 90 degrees.

What is an acute angle?

An angle that measures from 0 to less than 90 degrees.

What is an obtuse angle?

<p>An angle that measures greater than 90 degrees and less than 180 degrees.</p> Signup and view all the answers

What is a straight angle?

<p>The angle measures exactly 180 degrees.</p> Signup and view all the answers

What are vertical angles?

<p>Angles that are opposite one another and share a common vertex; vertical angles are congruent.</p> Signup and view all the answers

What are congruent angles?

<p>Two angles that have equal angle measures.</p> Signup and view all the answers

What are adjacent angles?

<p>Angles that share a common side and a common vertex.</p> Signup and view all the answers

What are complementary angles?

<p>When the angles of two angles add to 90 degrees.</p> Signup and view all the answers

What is an angle symbol?

<p>Used to write an angle mathematically.</p> Signup and view all the answers

What does congruent mean?

<p>To have the same angle.</p> Signup and view all the answers

What are supplementary angles?

<p>When the sum of two angles adds up to 180 degrees.</p> Signup and view all the answers

Study Notes

Angle Classification

  • Vertex: The point where two or more straight lines meet, forming an angle.
  • Right Angle: An angle that measures exactly 90 degrees, often represented with a square at the corner.
  • Acute Angle: An angle measuring greater than 0 degrees but less than 90 degrees, sharper in appearance.
  • Obtuse Angle: An angle greater than 90 degrees but less than 180 degrees, appearing wider than a right angle.
  • Straight Angle: An angle that measures exactly 180 degrees, forming a straight line.

Relationships Between Angles

  • Vertical Angles: Angles that are opposite each other when two lines intersect; they share a common vertex and are congruent (equal in measure).
  • Congruent Angles: Two angles that have the same measure, indicating they are equal in size.
  • Adjacent Angles: Angles that are next to each other, sharing a common side and vertex. Example: Angles ABD and CBD.
  • Complementary Angles: Two angles that add up to 90 degrees; they can be adjacent or separate.
  • Supplementary Angles: Two angles that sum to 180 degrees; like complementary angles, they can also be adjacent or not.

Mathematical Notations

  • Angle Symbol: A specific symbol used to represent angles mathematically, typically written as ∠.
  • Congruent Definition: The term 'congruent' signifies that two angles are equal in measure, indicating they look identical.

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Description

Test your knowledge of angles with this flashcard quiz based on Chapter 7, Lesson 1 of your Geometry textbook. Learn about different types of angles, including vertex, right angle, acute angle, and obtuse angle. Perfect for reinforcing your understanding of geometric concepts!

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