To determine whether the indicated angle pairs are adjacent, we need to understand the definition of
adjacent angles. Adjacent angles are two angles that:
1. Share a common vertex.
2. Share a common side.
3. Do not overlap (i.e., they do not have any interior points in common other than the common side).
Let's analyze each problem step by step:
---
Problem 1:
-
Diagram: Two angles sharing a common vertex and a common side.
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Analysis: The angles share a common vertex and a common side, and they do not overlap.
-
Conclusion: The angles are
adjacent.
---
Problem 2:
-
Diagram: Two angles that do not share a common side.
-
Analysis: The angles do not share a common side, even though they share a common vertex.
-
Conclusion: The angles are
not adjacent.
---
Problem 3:
-
Diagram: Two angles sharing a common vertex and a common side.
-
Analysis: The angles share a common vertex and a common side, and they do not overlap.
-
Conclusion: The angles are
adjacent.
---
Problem 4:
-
Diagram: Two angles that do not share a common side.
-
Analysis: The angles do not share a common side, even though they share a common vertex.
-
Conclusion: The angles are
not adjacent.
---
Problem 5:
-
Diagram: Two angles sharing a common vertex and a common side.
-
Analysis: The angles share a common vertex and a common side, and they do not overlap.
-
Conclusion: The angles are
adjacent.
---
Problem 6:
-
Diagram: Two angles that do not share a common side.
-
Analysis: The angles do not share a common side, even though they share a common vertex.
-
Conclusion: The angles are
not adjacent.
---
Problem 7:
-
Diagram: Two angles sharing a common vertex and a common side.
-
Analysis: The angles share a common vertex and a common side, and they do not overlap.
-
Conclusion: The angles are
adjacent.
---
Problem 8:
-
Diagram: Two angles that do not share a common side.
-
Analysis: The angles do not share a common side, even though they share a common vertex.
-
Conclusion: The angles are
not adjacent.
---
Final Answers:
1.
Adjacent
2.
Not adjacent
3.
Adjacent
4.
Not adjacent
5.
Adjacent
6.
Not adjacent
7.
Adjacent
8.
Not adjacent
Boxed Answer:
\[
\boxed{\text{Adjacent, Not adjacent, Adjacent, Not adjacent, Adjacent, Not adjacent, Adjacent, Not adjacent}}
\]
Parent Tip: Review the logic above to help your child master the concept of finding missing angles worksheet pdf.
![Find Missing Angles (Simple Figures) Worksheets [PDF] (7.G.B.5 ...](/images2/finding-missing-angles-worksheet-pdf/finding-missing-angles-worksheet-pdf-31.png)
