Kate is constructing an equilateral triangle. She has already used her straightedge to construct the line segment shown.

A line segment with endpoints labeled as A and B.

What should Kate do for her next step?

Use the straightedge to draw a line that passes through point A.

Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

Use the straightedge to draw another line segment that does not intersect AB¯¯¯¯¯.

Place the point of the compass on point A and draw an arc, using a width for the opening of the compass that is less than 12AB.

Respuesta :

The correct Answer is B. Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass. I just took the quiz and got it right.

The next step that Kate should take in construction of an equilateral triangle after using a straight edge to construct the given line segment is;

Option B; Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

This is about steps involved in constructing an equilateral triangle which means 3 equal sides.

  • First step; This first step entails drawing a line with the given measurement of the side of the equilateral triangle and label it AB

  • Second step; This step entails placing the point of the compass at point A and opening the leg to touch point B which means length AB will be the width to be used to draw an arc.

  • Step 3; The same process in step 2 is carried out but this time the point of the compass will be placed at point B and opening the second leg to touch point A which means length AB will be the width to be used to draw an arc to intersect the other one drawn.

  • Step 4; The point of intersection is now joined by a straight line to points A & B respectively.

Thus, option B is the correct next step.

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