Let's solve the problem step by step.
We are asked to
label each angle as acute, obtuse, or right based on the diagrams provided. Here's a quick review of the definitions:
-
Acute angle: An angle that is
less than 90°.
-
Right angle: An angle that is
exactly 90° (often marked with a small square).
-
Obtuse angle: An angle that is
greater than 90° but less than 180°.
Now let’s go through each diagram one by one and determine the type of angle.
---
1. ∠ABC
- The angle at point B looks like it's
less than 90°.
-
Answer: Acute
2. ∠DEF
- There is a
square symbol at point E, indicating a
right angle.
-
Answer: Right
3. ∠GHI
- The angle at H is
greater than 90°, and appears to be more than a right angle but less than a straight line.
-
Answer: Obtuse
4. ∠JKL
- The angle at K is
less than 90°.
-
Answer: Acute
5. ∠MNO
- The angle at N is
less than 90°.
-
Answer: Acute
6. ∠PQR
- The angle at Q is
less than 90°.
-
Answer: Acute
7. ∠STU
- The angle at T is
greater than 90°.
-
Answer: Obtuse
8. ∠VWX
- The angle at W is
less than 90°.
-
Answer: Acute
9. ∠XYZ
- The angle at Z is
greater than 90° (it's clearly open wide).
-
Answer: Obtuse
10. ∠BCD
- The angle at C is
greater than 90°, but not a full straight line.
-
Answer: Obtuse
11. ∠EFG
- There is a
square symbol at F, so this is a
right angle.
-
Answer: Right
12. ∠HIJ
- The angle at I is
less than 90°.
-
Answer: Acute
---
Final Answers:
1. Acute
2. Right
3. Obtuse
4. Acute
5. Acute
6. Acute
7. Obtuse
8. Acute
9. Obtuse
10. Obtuse
11. Right
12. Acute
---
✔ Summary:
We used visual estimation and the presence of the right-angle symbol (□) to classify each angle correctly. Remember:
-
Acute = sharp/small (< 90°)
-
Right = exactly 90° (marked with a square)
-
Obtuse = wide (> 90° but < 180°)
Let me know if you'd like a printable version or help with any specific one!
Parent Tip: Review the logic above to help your child master the concept of angles worksheet pdf.