Construct the bisector of the ∠ABC below, using only a compass and straight edge - Junior Cycle Mathematics - Question Question 1 - 2013
Question Question 1
Construct the bisector of the ∠ABC below, using only a compass and straight edge. Show all construction work.
Worked Solution & Example Answer:Construct the bisector of the ∠ABC below, using only a compass and straight edge - Junior Cycle Mathematics - Question Question 1 - 2013
Step 1
Step 1: Mark Points and Draw Arc
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Answer
Begin by marking points A, B, and C as shown in the figure. Using the compass, place the pointer at point C and draw an arc that intersects both arms of the angle, creating points D and E on line segments BA and BC, respectively.
Step 2
Step 2: Draw Arcs from Points D and E
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Answer
With the same compass width, place the compass pointer at point D and draw an arc. Without changing the width, move the pointer to point E and draw another arc. Ensure that the arcs intersect.
Step 3
Step 3: Connect Intersection and Vertex
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Answer
Label the intersection of the arcs as point F. Use the straight edge to draw a line from point C to point F. This line CF is the angle bisector of ∠ABC.
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