To solve this problem, I need to identify the type of angle shown in each numbered figure by comparing it to the definitions of right, acute, and obtuse angles.
Step 1: Recall Angle Definitions
*
Right Angle: Looks like a perfect corner (like the letter L). It measures exactly 90 degrees.
*
Acute Angle: Smaller than a right angle. It looks sharp or narrow. It measures less than 90 degrees.
*
Obtuse Angle: Larger than a right angle but smaller than a straight line. It looks wide open. It measures more than 90 degrees.
Step 2: Analyze Figure 1
The angle is very narrow and sharp. It is much smaller than an "L" shape.
* This is an
Acute Angle.
Step 3: Analyze Figure 2
The angle forms a perfect "L" shape with one line going straight up and the other straight across. There is often a small square symbol in the corner for these, but the shape itself is clearly a corner.
* This is a
Right Angle.
Step 4: Analyze Figure 3
The angle is wide open. The top line leans back far to the left, making the opening much wider than an "L" shape.
* This is an
Obtuse Angle.
Step 5: Analyze Figure 4
The angle is narrow. The top line leans slightly to the left, but the opening is still smaller than an "L" shape. It looks sharp.
* This is an
Acute Angle.
Verification:
1. Narrow/Sharp → Acute (Correct)
2. Perfect Corner/L-shape → Right (Correct)
3. Wide/Open → Obtuse (Correct)
4. Narrow/Sharp → Acute (Correct)
Final Answer:
1. b. Acute Angle
2. a. Right Angle
3. c. Obtuse Angle
4. b. Acute Angle
Parent Tip: Review the logic above to help your child master the concept of obtuse angle worksheet.
