Respuesta :
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
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:
D. construct an arc with center P that intersects segment AB in two points.
Step-by-step 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.