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Chapter 5: Problem 6

An angle with a measure of \(90^{\circ}\) is a _________ angle.

Short Answer

Expert verified
A right angle.

Step by step solution

01

Identify the Type of Angle

To determine the type of an angle, you need to know the classification system for angles based on their measure in degrees. There are several types of angles: acute, right, obtuse, and straight.
02

Measure Definition

A right angle is defined as an angle that measures exactly \(90^{\circ}\). Any angle with this measurement falls into the right angle category.
03

Categorize the Angle

Since the given angle measures exactly \(90^{\circ}\), it fits the definition of a right angle.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

angle classification
Angles can be classified based on their measurements. Understanding these classifications helps to identify and work with different types of angles effectively.

Here are the main types of angles you will encounter:
  • Acute Angle: An angle measuring less than 90 degrees.
  • Right Angle: An angle that measures exactly 90 degrees.
  • Obtuse Angle: An angle greater than 90 degrees but less than 180 degrees.
  • Straight Angle: An angle that measures exactly 180 degrees, forming a straight line.

Recognizing these classifications helps in solving geometric problems and understanding the properties of various shapes.
right angle definition
A right angle is one of the most fundamental concepts in geometry. A right angle is defined as an angle that measures exactly 90 degrees. This measurement is crucial as it forms the basis for many geometric concepts and shapes.

You can often find right angles in various real-world objects, such as the corners of a book or the edges of a piece of paper.

An important property of a right angle is that it divides the plane into two equal parts. This equality adds to the symmetry and balance found in designs and constructions.

Recalling the key characteristics of a right angle will greatly facilitate your geometry studies and practical applications.
measuring angles
Measuring angles accurately is vital in geometry. There are several tools commonly used to measure angles:
  • Protractor: A semi-circular or circular tool marked with degrees from 0 to 180 or 360, which helps in measuring angles.
  • Angle ruler: A special ruler designed to measure and draw angles.

Here's a step-by-step guide on how to measure an angle using a protractor:
  1. Place the midpoint of the protractor at the angle's vertex.
  2. Align one side of the angle with the zero line of the protractor.
  3. Read the degree where the other side of the angle meets the protractor scale.

Accurate angle measurement ensures correctness in geometric constructions and designs. Practicing these steps will enhance your precision in geometry.

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