Problem Analysis:
The worksheet is about angles and their classifications. Let's solve each part step by step.
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####
Part 1: Choose the correct answer
1.
a) The point of intersection of the sides of an angle is called _________.
- The point where the two sides of an angle meet is called the
vertex.
-
Answer: Vertex
2.
b) An angle of measure \(50^\circ\) is an _________.
- Angles are classified based on their measures:
- Acute angles: \(0^\circ < \theta < 90^\circ\)
- Right angles: \(\theta = 90^\circ\)
- Obtuse angles: \(90^\circ < \theta < 180^\circ\)
- Straight angles: \(\theta = 180^\circ\)
- Reflex angles: \(180^\circ < \theta < 360^\circ\)
- Since \(50^\circ\) is between \(0^\circ\) and \(90^\circ\), it is an
acute angle.
-
Answer: Acute angle
3.
c) An angle of measure \(180^\circ\) is a _________.
- An angle measuring exactly \(180^\circ\) is called a
straight angle.
-
Answer: Straight angle
4.
d) An angle of measure \(130^\circ\) is an _________.
- Since \(130^\circ\) is between \(90^\circ\) and \(180^\circ\), it is an
obtuse angle.
-
Answer: Obtuse angle
5.
e) The angular bisector is a _________ that divides the angle into 2 _________ adjacent angles.
- An
angular bisector is a line or ray that divides an angle into two equal parts.
- Therefore, the first blank should be "line/ray," and the second blank should be "equal."
-
Answer: Line/ray, equal
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####
Part 2: Drag the picture in its correct place
We need to match the given diagrams with the correct angle types:
1.
Null Angle: An angle with a measure of \(0^\circ\). This is essentially a single ray or no angle at all.
- The diagram showing two rays coinciding (forming a single ray) represents a null angle.
2.
Acute Angle: An angle measuring between \(0^\circ\) and \(90^\circ\).
- The diagram showing a small, sharp angle represents an acute angle.
3.
Right Angle: An angle measuring exactly \(90^\circ\).
- The diagram showing a square corner represents a right angle.
4.
Obtuse Angle: An angle measuring between \(90^\circ\) and \(180^\circ\).
- The diagram showing a wide, open angle represents an obtuse angle.
5.
Straight Angle: An angle measuring exactly \(180^\circ\).
- The diagram showing two rays forming a straight line represents a straight angle.
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Final Answers:
#### Part 1:
1. a)
Vertex
2. b)
Acute angle
3. c)
Straight angle
4. d)
Obtuse angle
5. e)
Line/ray, equal
#### Part 2:
- Null Angle: Diagram of two rays coinciding
- Acute Angle: Diagram of a small, sharp angle
- Right Angle: Diagram of a square corner
- Obtuse Angle: Diagram of a wide, open angle
- Straight Angle: Diagram of two rays forming a straight line
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Boxed Final Answer:
\[
\boxed{
\text{1. a) Vertex, b) Acute angle, c) Straight angle, d) Obtuse angle, e) Line/ray, equal}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet angles.
