Geometry worksheet for students to practice identifying and classifying angles.

Problem Analysis:

The worksheet involves classifying angles as acute, obtuse, or right and determining their measures in degrees and as fractions of a full turn. Let's solve each section step by step.

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Section 1: Label each angle as acute, obtuse, or right

#### 1.
- Angle: ∠BAC
- Description: The angle is less than 90°.
- Classification: Acute

#### 2.
- Angle: ∠EFD
- Description: The angle is exactly 90° (indicated by the square symbol).
- Classification: Right

#### 3.
- Angle: ∠GHI
- Description: The angle is greater than 90° but less than 180°.
- Classification: Obtuse

#### 4.
- Angle: ∠JKL
- Description: The angle is less than 90°.
- Classification: Acute

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Section 2: Classify each angle as right, acute, or obtuse

#### 5.
- Angle: The angle is greater than 90° but less than 180°.
- Classification: Obtuse

#### 6.
- Angle: The angle is exactly 90° (indicated by the square symbol).
- Classification: Right

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Section 3: Write the measure of each angle in degrees and as a fraction of a full turn

#### 1.
- Diagram: A full circle (360°) is shown.
- Measure: The angle spans the entire circle.
- Degrees: 360°
- Fraction of a full turn: \( \frac{360}{360} = 1 \) turn

#### 2.
- Diagram: A half-circle (180°) is shown.
- Measure: The angle spans half of the circle.
- Degrees: 180°
- Fraction of a full turn: \( \frac{180}{360} = \frac{1}{2} \) turn

#### 3.
- Diagram: A quarter-circle (90°) is shown.
- Measure: The angle spans one-fourth of the circle.
- Degrees: 90°
- Fraction of a full turn: \( \frac{90}{360} = \frac{1}{4} \) turn

#### 4.
- Diagram: A three-quarter-circle (270°) is shown.
- Measure: The angle spans three-fourths of the circle.
- Degrees: 270°
- Fraction of a full turn: \( \frac{270}{360} = \frac{3}{4} \) turn

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Final Answers:

#### Section 1:
1. Acute
2. Right
3. Obtuse
4. Acute

#### Section 2:
5. Obtuse
6. Right

#### Section 3:
1. 360°, 1 turn
2. 180°, \( \frac{1}{2} \) turn
3. 90°, \( \frac{1}{4} \) turn
4. 270°, \( \frac{3}{4} \) turn

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Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Section 1:} \\
1. \text{Acute} \\
2. \text{Right} \\
3. \text{Obtuse} \\
4. \text{Acute} \\
\\
\text{Section 2:} \\
5. \text{Obtuse} \\
6. \text{Right} \\
\\
\text{Section 3:} \\
1. 360^\circ, 1 \text{ turn} \\
2. 180^\circ, \frac{1}{2} \text{ turn} \\
3. 90^\circ, \frac{1}{4} \text{ turn} \\
4. 270^\circ, \frac{3}{4} \text{ turn}
\end{array}
}
\]