Draw a right angle and construct its bisector.

Answer

To solve the problem of drawing a right angle and constructing its bisector, follow these steps:

### Step-by-Step Solution:

1. **Draw a Horizontal Line:**
- Start by drawing a horizontal line using a ruler. Label the endpoints as point O (the vertex of the angle) and point A (one endpoint of the line).

**Hint:** Use a ruler to ensure your line is straight.

2. **Construct a Right Angle:**
- At point O, use a protractor to measure a 90-degree angle. Mark this point as point B. Alternatively, you can use a compass to create a semicircle from point O, and then find the perpendicular line.

**Hint:** If using a compass, remember that the semicircle should be drawn with the center at point O.

3. **Draw the Right Angle:**
- Connect point O to point B with a straight line. Now you have a right angle ∠AOB.

**Hint:** Ensure that the angle is exactly 90 degrees for it to be a right angle.

4. **Find the Bisector:**
- To construct the bisector of the right angle, place the compass pointer on point O and draw an arc that intersects both lines OA and OB. Label the intersection points as C and D.

**Hint:** Make sure the compass width is the same when drawing arcs from point O to points C and D.

5. **Draw Arcs from Points C and D:**
- Without changing the compass width, place the compass pointer on point C and draw an arc above the angle. Then, place the compass pointer on point D and draw another arc that intersects the first arc. Label the intersection point of these arcs as point E.

**Hint:** The arcs should intersect above the angle to form the bisector.

6. **Draw the Bisector Line:**
- Use a ruler to draw a straight line from point O through point E. This line OE is the bisector of the right angle ∠AOB.

**Hint:** Ensure that the line passes through point O and point E to accurately represent the bisector.

### Final Result:
You have successfully drawn a right angle ∠AOB and constructed its bisector OE.