AI generatedGeometry and measuresKS3 / GCSE

Constructing an angle bisector

Constructing an angle bisector.

  • Use a sharp pencil, ruler and compasses or protractor as specified.
  • Keep the arcs and guide marks that show how the construction was made.
  • Check the required lengths and angles without erasing the construction.

Example 1

Bisect the angle using a ruler and compasses.

Construction: given informationO
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Example 2

Bisect the angle using a ruler and compasses.

Construction: given informationO
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Your turn

Question 1

Bisect the angle using a ruler and compasses.

Construction: given informationO
Check answer
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Question 2

Bisect the angle using a ruler and compasses.

Construction: given informationO
Check answer
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Question 3

Bisect the angle using a ruler and compasses.

Construction: given informationO
Check answer
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Question 4

Bisect the angle using a ruler and compasses.

Construction: given informationO
Check answer
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.

Question 5

Bisect the angle using a ruler and compasses.

Construction: given informationO
Check answer
The blue ray divides the angle into two equal parts.
Construction: given informationO

From the vertex, draw one arc cutting both arms. From those two cut points draw equal-radius arcs that cross inside the angle. Join the vertex to their intersection.