Problem Analysis and Solution
The image contains two tasks related to angles. Let's solve each task step by step.
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Task 1: Put a cross (×) for objects that have right angles in them.
We need to identify which of the given objects contain right angles (90° angles). A right angle is formed when two lines or edges meet at a 90° angle.
##### Objects:
1.
Book: A book has rectangular faces, and rectangles have four right angles.
2.
Dice: A dice is a cube, and cubes have right angles at their edges.
3.
Brick: A brick is typically rectangular in shape, so it has right angles.
4.
Triangle sign: This is a triangular warning sign, and triangles do not necessarily have right angles unless specified.
5.
Tent: A tent is generally triangular in shape and does not have right angles.
6.
Easel: An easel often has a rectangular base and supports, so it has right angles.
7.
Ruler: A ruler is a straight edge and does not form angles on its own.
8.
Clock: A clock face is circular, and circles do not have right angles.
##### Solution:
- Book: ×
- Dice: ×
- Brick: ×
- Triangle sign:
- Tent:
- Easel: ×
- Ruler:
- Clock:
Final Answer for Task 1:
- Book: ×
- Dice: ×
- Brick: ×
- Triangle sign:
- Tent:
- Easel: ×
- Ruler:
- Clock:
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Task 2: Label each angle as right, acute, or obtuse.
We need to classify each angle based on its measure:
-
Right angle: Exactly 90°.
-
Acute angle: Less than 90°.
-
Obtuse angle: Greater than 90° but less than 180°.
##### Angles:
1.
Angle \( a \): This angle appears to be exactly 90°.
2.
Angle \( b \): This angle appears to be less than 90°.
3.
Angle \( c \): This angle appears to be greater than 90°.
4.
Angle \( d \): This angle appears to be greater than 90°.
5.
Angle \( e \): This angle appears to be less than 90°.
6.
Angle \( f \): This angle appears to be greater than 90°.
##### Solution:
- Angle \( a \): Right
- Angle \( b \): Acute
- Angle \( c \): Obtuse
- Angle \( d \): Obtuse
- Angle \( e \): Acute
- Angle \( f \): Obtuse
Final Answer for Task 2:
- \( a \): Right
- \( b \): Acute
- \( c \): Obtuse
- \( d \): Obtuse
- \( e \): Acute
- \( f \): Obtuse
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Final Answers:
1.
Task 1:
- Book: ×
- Dice: ×
- Brick: ×
- Triangle sign:
- Tent:
- Easel: ×
- Ruler:
- Clock:
2.
Task 2:
- \( a \): Right
- \( b \): Acute
- \( c \): Obtuse
- \( d \): Obtuse
- \( e \): Acute
- \( f \): Obtuse
Boxed Final Answer:
\[
\boxed{
\text{Task 1: Book, Dice, Brick, Easel; Task 2: } a = \text{Right}, b = \text{Acute}, c = \text{Obtuse}, d = \text{Obtuse}, e = \text{Acute}, f = \text{Obtuse}
}
\]
Parent Tip: Review the logic above to help your child master the concept of acute obtuse and right angles worksheet.