Question

Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?

A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
D) construct an arc with center P that intersects segment AB in two points

Answer 1

Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?

A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
☆☆☆D) construct an arc with center P that intersects segment AB in two points

Answer 2

D. construct an arc with center P that intersects segment AB in two points.

Explanation:

Given : Ruthie wants to construct a line that passes through point P and is perpendicular to AB

To Find : What should Ruthie do first?

Solution :

Her first step should be :

D. construct an arc with center P that intersects segment AB in two points.

Accurate steps.

1.Place the compasses on the given external point P.construct an arc with center P that intersects segment AB in two points.

2.From each arc on AB draw an arc below the line so that the resultant arcs cross each other.

3.Place a straightedge between P and the point where the arcs intersect. Draw the perpendicular line from P to the line,

Thus the first step should be : D. construct an arc with center P that intersects segment AB in two points.