To determine whether the indicated angle pairs are adjacent, we need to check if they meet the following criteria for being adjacent angles:
1.
Adjacent Angles:
- They must share a common vertex.
- They must share a common side.
- Their non-common sides must form a straight line or be part of the same geometric figure without overlapping.
Let's analyze each pair of angles from the image step by step:
---
1)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They share a common side.
- Their non-common sides form a straight line.
-
Conclusion: These angles are
adjacent.
---
2)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They do not share a common side.
- Their non-common sides do not form a straight line.
-
Conclusion: These angles are
not adjacent.
---
3)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They share a common side.
- Their non-common sides form a straight line.
-
Conclusion: These angles are
adjacent.
---
4)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They do not share a common side.
- Their non-common sides do not form a straight line.
-
Conclusion: These angles are
not adjacent.
---
5)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They share a common side.
- Their non-common sides form a straight line.
-
Conclusion: These angles are
adjacent.
---
6)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They share a common side.
- Their non-common sides form a straight line.
-
Conclusion: These angles are
adjacent.
---
7)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They share a common side.
- Their non-common sides form a straight line.
-
Conclusion: These angles are
adjacent.
---
8)
-
Angles: \( \angle 1 \) and \( \angle 2 \)
-
Analysis:
- Both angles share a common vertex.
- They do not share a common side.
- Their non-common sides do not form a straight line.
-
Conclusion: These angles are
not adjacent.
---
Final Answer
\[
\boxed{
\begin{array}{ll}
1) & \text{Adjacent} \\
2) & \text{Not Adjacent} \\
3) & \text{Adjacent} \\
4) & \text{Not Adjacent} \\
5) & \text{Adjacent} \\
6) & \text{Adjacent} \\
7) & \text{Adjacent} \\
8) & \text{Not Adjacent} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 7th grade angles worksheet.
