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Count acute, obtuse, and right angles in each geometric shape on this educational worksheet.

Worksheet titled "Lines and Angles Worksheet #9" with eight geometric figures for counting acute, obtuse, and right angles.

Worksheet titled "Lines and Angles Worksheet #9" with eight geometric figures for counting acute, obtuse, and right angles.

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Show Answer Key & Explanations Step-by-step solution for: Grade 4 Maths Resources (8.1 Geometry - Revising Different Types ...
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To solve the problem, we need to count the number of acute, obtuse, and right angles in each figure. Let's go through each figure step by step.

Figure 1:


- Shape: A quadrilateral with intersecting diagonals.
- Analysis:
- Acute angles: There are 4 acute angles formed at the intersection of the diagonals.
- Obtuse angles: There are 4 obtuse angles formed at the intersection of the diagonals.
- Right angles: There are 0 right angles.

- Answer:
- Acute = 4
- Obtuse = 4
- Right = 0

Figure 2:


- Shape: A pentagon with one diagonal.
- Analysis:
- Acute angles: There are 3 acute angles (at the top vertex and the two bottom vertices).
- Obtuse angles: There are 2 obtuse angles (at the two side vertices).
- Right angles: There are 0 right angles.

- Answer:
- Acute = 3
- Obtuse = 2
- Right = 0

Figure 3:


- Shape: A rhombus with a horizontal line segment dividing it into two triangles.
- Analysis:
- Acute angles: There are 4 acute angles (two at the top and two at the bottom).
- Obtuse angles: There are 0 obtuse angles.
- Right angles: There are 4 right angles (where the horizontal line intersects the diagonals).

- Answer:
- Acute = 4
- Obtuse = 0
- Right = 4

Figure 4:


- Shape: A circle.
- Analysis:
- Acute angles: There are 0 acute angles.
- Obtuse angles: There are 0 obtuse angles.
- Right angles: There are 0 right angles.

- Answer:
- Acute = 0
- Obtuse = 0
- Right = 0

Figure 5:


- Shape: A trapezoid with a diagonal.
- Analysis:
- Acute angles: There are 2 acute angles (at the top vertices).
- Obtuse angles: There are 2 obtuse angles (at the bottom vertices).
- Right angles: There are 0 right angles.

- Answer:
- Acute = 2
- Obtuse = 2
- Right = 0

Figure 6:


- Shape: A house-like shape with a triangular roof and a rectangular base.
- Analysis:
- Acute angles: There are 2 acute angles (at the top of the triangle).
- Obtuse angles: There are 0 obtuse angles.
- Right angles: There are 5 right angles (at the corners of the rectangle and where the triangle meets the rectangle).

- Answer:
- Acute = 2
- Obtuse = 0
- Right = 5

Figure 7:


- Shape: A triangle with a smaller triangle on top.
- Analysis:
- Acute angles: There are 4 acute angles (two at the top triangle and two at the bottom triangle).
- Obtuse angles: There are 0 obtuse angles.
- Right angles: There are 0 right angles.

- Answer:
- Acute = 4
- Obtuse = 0
- Right = 0

Figure 8:


- Shape: A quadrilateral with a diagonal.
- Analysis:
- Acute angles: There are 2 acute angles (at the top vertices).
- Obtuse angles: There are 2 obtuse angles (at the bottom vertices).
- Right angles: There are 0 right angles.

- Answer:
- Acute = 2
- Obtuse = 2
- Right = 0

Final Answer:


\[
\boxed{
\begin{array}{ccc}
\text{Figure} & \text{Acute} & \text{Obtuse} & \text{Right} \\
1 & 4 & 4 & 0 \\
2 & 3 & 2 & 0 \\
3 & 4 & 0 & 4 \\
4 & 0 & 0 & 0 \\
5 & 2 & 2 & 0 \\
6 & 2 & 0 & 5 \\
7 & 4 & 0 & 0 \\
8 & 2 & 2 & 0 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angles worksheet geometry.
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