Geometry Chapter 7 Lesson 1 Angles

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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.

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!