To solve the problem of classifying triangles by their angles, we need to identify whether each triangle is
acute,
right, or
obtuse based on the measures of its angles. Here's a step-by-step explanation:
Definitions:
1.
Acute Triangle: All three angles are less than 90°.
2.
Right Triangle: One angle is exactly 90°.
3.
Obtuse Triangle: One angle is greater than 90°.
Analysis of Each Triangle:
####
Top Row:
1.
First Triangle (Top Left):
- All angles appear to be less than 90°.
-
Classification: Acute
2.
Second Triangle (Top Right):
- One angle appears to be exactly 90°.
-
Classification: Right
####
Middle Row:
3.
Third Triangle (Middle Left):
- One angle appears to be greater than 90°.
-
Classification: Obtuse
4.
Fourth Triangle (Middle Right):
- One angle appears to be greater than 90°.
-
Classification: Obtuse
####
Bottom Row:
5.
Fifth Triangle (Bottom Left):
- One angle appears to be exactly 90°.
-
Classification: Right
6.
Sixth Triangle (Bottom Right):
- All angles appear to be less than 90°.
-
Classification: Acute
Final Answer:
- Top Left: Acute
- Top Right: Right
- Middle Left: Obtuse
- Middle Right: Obtuse
- Bottom Left: Right
- Bottom Right: Acute
Boxed Answer:
\[
\boxed{
\begin{array}{cc}
\text{Top Left: Acute} & \text{Top Right: Right} \\
\text{Middle Left: Obtuse} & \text{Middle Right: Obtuse} \\
\text{Bottom Left: Right} & \text{Bottom Right: Acute} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of classifying triangles by angles worksheet.
