AB is a line segment of 4 cm. Divide it in the ratio of 1:3 using a compass.

**Steps of Construction**

**Step 1**: Draw a line AC of any length by making an acute angle with the given line segment AB.

**Step 2**: Using any small length on the compass mark 4 points of equal size on AC, so that AX_{1} = AX_{2} = AX_{3} = AX_{4}. We are marking 4 points as we have to divide the line in the ratio of 1:3, so 1 + 3 = 4.

**Step 3**: Now join BX_{4}.

**Step 4**: Draw a line from point X_{1} to line AB parallel to BX_{4}, which intersects AB at point P.

Now AP: PB = 1:3.

A line can also be divided by another method.

**Steps of Construction**

**Step 1:** Draw a line AC with the acute angle with the line segment AB.

**Step 2:** Draw another line DB parallel to AC so that ∠BAX = ∠ADB

**Step 3:** Mark the points X_{1}(m = 1) on AC and Y_{1}, Y_{2}, Y_{3 }n = 3) on DB so that AX_{1 }= BY_{1 }= Y_{1}Y_{2 }= Y_{2}Y_{3}.

**Step 4:** Join X_{1}Y_{3} so that it intersects line AB at P.

AP : PB = 1 : 3

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