To solve the problem, we need to classify each triangle based on its sides and angles. Let's analyze each triangle step by step:
Triangle Classification Based on Sides:
1.
Scalene Triangle: All three sides are of different lengths.
2.
Isosceles Triangle: At least two sides are of equal length.
3.
Equilateral Triangle: All three sides are of equal length.
Triangle Classification Based on Angles:
1.
Right Triangle: One angle is exactly 90°.
2.
Acute Triangle: All three angles are less than 90°.
3.
Obtuse Triangle: One angle is greater than 90°.
Now, let's classify each triangle:
---
Triangle 1:
-
Sides: All sides appear to be of different lengths.
-
Angles: One angle is a right angle (90°).
-
Classification:
- Scalene: ✓
- Right: ✓
---
Triangle 2:
-
Sides: Two sides appear to be of equal length (indicated by the tick marks).
-
Angles: All angles are less than 90°.
-
Classification:
- Isosceles: ✓
- Acute: ✓
---
Triangle 3:
-
Sides: All sides appear to be of different lengths.
-
Angles: One angle is greater than 90°.
-
Classification:
- Scalene: ✓
- Obtuse: ✓
---
Triangle 4:
-
Sides: Two sides appear to be of equal length (indicated by the tick marks).
-
Angles: One angle is a right angle (90°).
-
Classification:
- Isosceles: ✓
- Right: ✓
---
Triangle 5:
-
Sides: All three sides appear to be of equal length (indicated by the tick marks).
-
Angles: All angles are less than 90°.
-
Classification:
- Equilateral: ✓
- Acute: ✓
---
Final Answer:
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
& \text{Scalene} & \text{Isosceles} & \text{Equilateral} & \text{Right} & \text{Acute} & \text{Obtuse} \\
\hline
1. & \checkmark & & & \checkmark & & \\
\hline
2. & & \checkmark & & & \checkmark & \\
\hline
3. & \checkmark & & & & & \checkmark \\
\hline
4. & & \checkmark & & \checkmark & & \\
\hline
5. & & & \checkmark & & \checkmark & \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|c|c|c|c|c|}
\hline
& \text{Scalene} & \text{Isosceles} & \text{Equilateral} & \text{Right} & \text{Acute} & \text{Obtuse} \\
\hline
1. & \checkmark & & & \checkmark & & \\
\hline
2. & & \checkmark & & & \checkmark & \\
\hline
3. & \checkmark & & & & & \checkmark \\
\hline
4. & & \checkmark & & \checkmark & & \\
\hline
5. & & & \checkmark & & \checkmark & \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of triangles and quadrilaterals worksheet.
