Bisector of an angle: answer key to the math exercises in 6th grade

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Answer key to 6th grade math exercises on the bisector of an angle. Know how to draw the bisector of an angle using the compass and protractor and then demonstrate by applying the proprerogatives of the bisector in sixth grade.

Exercise 1:

In each case, here are the bisectors of these angles:

$a.\,20^{\circ}.$

$b.\,70^{\circ}.$

$c.\,90^{\circ}.$

$d.\,150^{\circ}.$

Exercise 2:

1. Draw an angle $\widehat{IOJ}$ of $80^{\circ}$ .

Construct its bisector (d) with the ruler and compass.

2. K is the point of intersection of the line (d) and the segment [IJ].

Measure the angles $\widehat{IOK}$ and $\widehat{KOJ}$ with the protractor.

Was the result predictable?

$\widehat{IOK}=\widehat{KOJ}=40^{\circ}$

The result was predictable since a bisector divides an angle

into two other angles of the same measure.

Exercise 3:

Draw an EFG triangle and construct the bisector with the ruler and the compass

of each of the angles of this triangle.

Remark:

We note that the three bisectors of a triangle are concurrent.

Exercise 4:

In each case, draw an angle of the indicated measure

and construct its bisector with the ruler and compass.

$a.\,40^{\circ}.$

$b.\,100^{\circ}.$

$c.\,170^{\circ}.$

Exercise 5:

Let ABC be a triangle such that AB = 6 cm, AC = 4 cm and BC= 7 cm.

Construct the bisectors of the three angles of this triangle.

Exercise 6:

Using your protractor, construct the bisectors of these three angles.

It is up to you to make these constructions on a blank sheet of paper using your geometry equipment

The answer key to the math exercises on the bisectors of an angle in 6th grade in PDF.

After looking at the answers to these exercises on the bisector of an angle given in the sixth grade, you can return to the exercises in the sixth grade.

The exercises in the sixth grade.

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