I will solve this "Angle Types Practice" worksheet by identifying the type of each angle shown. To do this, I need to recall the definitions for different types of angles based on their degree measure.
Here are the standard classifications:
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Acute Angle: Less than 90°
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Right Angle: Exactly 90° (often marked with a small square)
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Obtuse Angle: Greater than 90° but less than 180°
-
Straight Angle: Exactly 180° (forms a straight line)
-
Reflex Angle: Greater than 180° but less than 360°
-
Full Rotation (or Complete Angle): Exactly 360° (a full circle)
Now, I will go through each problem one by one to identify the angle type.
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Problem 1: The image shows an angle that forms a straight line, which is 180°.
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Type: Straight Angle
Problem 2: The angle is labeled as 29°.
- Since 29° < 90°, it is an Acute Angle.
Problem 3: The angle has a small square at the vertex, which is the standard symbol for a right angle.
-
Type: Right Angle
Problem 4: The angle is labeled as 10°.
- Since 10° < 90°, it is an Acute Angle.
Problem 5: The angle is labeled as 171°.
- Since 90° < 171° < 180°, it is an Obtuse Angle.
Problem 6: The image shows an angle that is greater than 180°, forming a reflex shape.
-
Type: Reflex Angle
Problem 7: The angle is labeled as 91°.
- Since 90° < 91° < 180°, it is an Obtuse Angle.
Problem 8: The image shows a full circle with a line segment from the center, indicating a complete rotation.
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Type: Full Rotation (or Complete Angle)
Problem 9: The angle is labeled as 85°.
- Since 85° < 90°, it is an Acute Angle.
Problem 10: The angle is labeled as 180°.
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Type: Straight Angle
Problem 11: The angle is labeled as 108°.
- Since 90° < 108° < 180°, it is an Obtuse Angle.
Problem 12: The image shows two lines forming a straight line in opposite directions, which is 180°.
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Type: Straight Angle
Problem 13: The angle is labeled as 239°.
- Since 180° < 239° < 360°, it is a Reflex Angle.
Problem 14: The image shows a full circle, representing a complete rotation of 360°.
-
Type: Full Rotation (or Complete Angle)
Problem 15: The angle is labeled as 90° and also has the square symbol for a right angle.
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Type: Right Angle
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Final Answer:
Here is the completed worksheet with the correct angle type for each problem:
1.
Straight Angle
2.
Acute Angle
3.
Right Angle
4.
Acute Angle
5.
Obtuse Angle
6.
Reflex Angle
7.
Obtuse Angle
8.
Full Rotation
9.
Acute Angle
10.
Straight Angle
11.
Obtuse Angle
12.
Straight Angle
13.
Reflex Angle
14.
Full Rotation
15.
Right Angle
This completes the task of identifying the type of each angle.
Parent Tip: Review the logic above to help your child master the concept of worksheet identifying angles.