Pin on Teaching - Free Printable

Here's the complete solution to the geometry worksheet, explained step by step for Grade IV level understanding.

---

1. Fill in the blanks.

a. A line segment has ___ end points.
✔ Answer: 2
*Explanation:* A line segment is a part of a line that has two definite endpoints. It does not extend infinitely like a line or ray.

---

b. The diameter is the ___ chord of the circle.
✔ Answer: longest
*Explanation:* A chord is any straight line segment whose endpoints lie on the circle. The diameter is a special chord that passes through the center of the circle — and it’s the longest possible chord in any circle.

---

c. A ___ extends in one direction only.
✔ Answer: ray
*Explanation:* A ray starts at one point (endpoint) and goes on forever in one direction. Think of a flashlight beam — it starts at the flashlight and goes forward infinitely.

---

d. Diameter = ___ × radius
✔ Answer: 2
*Explanation:* The radius is the distance from the center of the circle to any point on its edge. The diameter goes all the way across the circle through the center — so it’s twice as long as the radius.
👉 Formula: Diameter = 2 × Radius

---

2. Write if the figure is shown in the top view, front view, or side view.

Let’s look at each image:

- First image (bus facing forward): You see the front windshield, headlights, and grille → ✔ Front view
- Second image (school bus from the side): You see the length of the bus, wheels, windows along the side → ✔ Side view
- Third image (yellow silhouette of a head profile): You see the outline of the face from the side → ✔ Side view
- Fourth image (sandwich with layers visible): You’re looking down on it — you can see the bread, lettuce, tomato, etc., stacked → ✔ Top view
- Fifth image (pencil lying horizontally): You see the length of the pencil, eraser, and tip — this is how you’d see it if you looked at it from the side → ✔ Side view

✔ Final Answers:
1. Front view
2. Side view
3. Side view
4. Top view
5. Side view

*(Note: If the sandwich was drawn upright, it might be front view — but since it’s shown flat with layers visible, “top view” is correct.)*

---

3. Name the angles.

We name angles based on their measure:

- First angle: Looks like an “L” shape — 90 degrees → ✔ Right angle
- Second angle: Smaller than 90 degrees → ✔ Acute angle
- Third angle: Larger than 90 degrees but less than 180 → ✔ Obtuse angle
- Fourth angle: Also larger than 90 degrees — looks like obtuse too → ✔ Obtuse angle

✔ Final Answers:
1. Right angle
2. Acute angle
3. Obtuse angle
4. Obtuse angle

*(Tip: Right = 90°, Acute < 90°, Obtuse > 90° but < 180°)*

---

4. Measure the following line segments.

⚠️ Important note: Since this is a printed worksheet (and we can’t physically measure it), you need to use a ruler to measure these lines yourself.

But here’s how to do it correctly:

- Place the “0” mark of your ruler at the left endpoint of the line segment.
- Read the measurement at the right endpoint.
- Record the length in centimeters (cm) or inches (in), depending on your ruler.

✔ Example (if you were to measure):
- First line segment: ~3 cm
- Second line segment: ~5 cm

*(Since actual measurements depend on the printed size, students must measure them physically.)*

---

## ✔ Final Answer Summary:

1. Fill in the blanks:

a. 2
b. longest
c. ray
d. 2

2. Views:

1. Front view
2. Side view
3. Side view
4. Top view
5. Side view

3. Angles:

1. Right angle
2. Acute angle
3. Obtuse angle
4. Obtuse angle

4. Measure the line segments:

*(Student must measure with a ruler — no fixed answer without physical measurement.)*

---

Let me know if you’d like a printable version or visual aids to help explain any part! 😊