Constructions

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Step 1: Draw an arc from vertex B cutting AB at D and BC at E. Step 2: Draw a line PQ and make the same arc from P, cutting PQ at R. Step 3: With R as centre and radius DE, cut the second arc at S. St…

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The same radius makes both arcs comparable. Step 1: Draw an arc at the original angle with one radius. Step 2: Draw another arc at the new vertex with the same radius. Step 3: The distance between the…

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Step 1: With B as centre, draw an arc cutting AB at D and BC at E. Step 2: With E as centre and radius more than half of DE, draw an arc. Step 3: With D as centre and the same radius, draw another arc…

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Step 1: The arcs from D and E must intersect. Step 2: If the radius is equal to or less than half of DE, the arcs may not meet. Step 3: Without an intersection point, the bisector cannot be drawn. So …

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Step 1: Draw OA. Step 2: With O as centre, draw an arc cutting OA at B. Step 3: With B as centre and the same radius, draw another arc cutting the first arc at C. Step 4: Join OC and produce it to D.

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Step 1: Draw OA. Step 2: With O as centre, draw an arc cutting OA at B. Step 3: With B as centre and the same radius, draw an arc cutting the first arc at C. Step 4: With C as centre, draw another arc…

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A 45 degrees angle is made by bisecting a 90 degrees angle. Step 1: Construct a 90 degrees angle. Step 2: Draw its angle bisector. Step 3: Each part is equal. So each angle formed is 45 degrees.

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Step 1: A 90 degrees angle is a right angle. Step 2: Bisecting means dividing into two equal parts. Step 3: 90 degrees divided by 2 = 45 degrees. So, bisecting a 90 degrees angle gives two equal angle…