Geometry Chapter 7 Lesson 1 Angles

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?

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

What is a straight angle?

The angle measures exactly 180 degrees. Signup and view all the answers

What are vertical angles?

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

What are congruent angles?

Two angles that have equal angle measures. Signup and view all the answers

What are adjacent angles?

Angles that share a common side and a common vertex. Signup and view all the answers

What are complementary angles?

When the angles of two angles add to 90 degrees. Signup and view all the answers

What is an angle symbol?

Used to write an angle mathematically. Signup and view all the answers

What does congruent mean?

To have the same angle. Signup and view all the answers

What are supplementary angles?

When the sum of two angles adds up to 180 degrees. 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.

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!