Explanation:
Let’s look at the diagram and the questions one by one.
We are given a diagram with several angles labeled 1 through 6. We need to identify:
- An angle that is adjacent to angle 1
- An angle that is adjacent to angle 4
- A pair of angles that are complementary
- A pair of angles that are vertical
Step 1: Understand the definitions from the top of the page:
- Adjacent angles share a common vertex and a common side, but do not overlap.
- Complementary angles add up to 90°.
- Vertical angles are opposite angles formed when two lines cross. They are always equal.
Step 2: Look at the diagram.
- Angles 1 and 2 are next to each other, sharing a common side and vertex. So angle 2 is adjacent to angle 1.
- Angles 3 and 4 are next to each other, sharing a common side and vertex. So angle 3 is adjacent to angle 4.
- Vertical angles: angle 1 and angle 3 are opposite each other, so they are vertical. Angle 2 and angle 4 are opposite, so they are vertical.
- Complementary angles: The diagram shows that angle 1 and angle 2 form a right angle (90°), so they are complementary.
Now, answer each question:
1) Name an angle that is adjacent to angle 1.
→ Angle 2 (or angle 6, but angle 2 is clearer from the diagram).
2) Name an angle that is adjacent to angle 4.
→ Angle 3 (or angle 5).
3) Name a pair of angles that are complementary.
→ Angle 1 and angle 2 (since they add to 90°).
4) Name a pair of vertical angles.
→ Angle 1 and angle 3 (or angle 2 and angle 4).
Final Answer:
1) angle 2
2) angle 3
3) angle 1 and angle 2
4) angle 1 and angle 3
Parent Tip: Review the logic above to help your child master the concept of adjacent and vertical angles worksheet.
