Photo AI

Bisection of the given angle \( \angle bac \) without using a protractor - Junior Cycle Mathematics - Question iii - 2006

Question icon

Question iii

Bisection-of-the-given-angle-\(-\angle-bac-\)-without-using-a-protractor-Junior Cycle Mathematics-Question iii-2006.png

Bisection of the given angle \( \angle bac \) without using a protractor. Show all construction lines.

Worked Solution & Example Answer:Bisection of the given angle \( \angle bac \) without using a protractor - Junior Cycle Mathematics - Question iii - 2006

Step 1

Step 1: Draw an Arc

96%

114 rated

Answer

Place the compass pointer at point ( a ) and draw an arc that crosses both lines ( ab ) and ( ac ). Let's label the intersection points as ( d ) and ( e ) respectively.

Step 2

Step 2: Draw Arcs from Intersection Points

99%

104 rated

Answer

Without changing the compass width, place the compass pointer at point ( d ) and draw an arc above the angle. Now, keeping the same width, place the compass pointer at point ( e ) and draw another arc that intersects the first arc. Label the intersection point as ( f ).

Step 3

Step 3: Draw the Bisection Line

96%

101 rated

Answer

Using a ruler, draw a straight line from point ( a ) through point ( f ). This line bisects the angle ( \angle bac ).

Step 4

Step 4: Annotate the Diagram

98%

120 rated

Answer

Clearly label the angle parts as ( \angle baf ) and ( \angle fac ) to show that the angle has been bisected.

Join the Junior Cycle students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;