Question

drag each tile to the correct box.
the given steps for constructing a line tangent to circle o that passes through point p outside the circle are listed out of order. arrange the steps in the correct sequence.
a. from m, set the compass width to mo.
b. draw a line from the center, o, to a given point p
c. draw the tangent line from p to n.
d. make an arc that intersects the circle to create point n
e. construct the perpendicular bisector of segment op to find the midpoint, m.

Explanation:

Step1: Start with connecting O and P

First, we need to draw a line from the center \( O \) to the given point \( P \). So step B comes first.

Step2: Find midpoint of OP

Next, we construct the perpendicular bisector of segment \( OP \) to find the midpoint \( M \). This is step E.

Step3: Set compass width

From \( M \), we set the compass width to \( MO \) (since \( MO = MP \) as \( M \) is the midpoint). This is step A.

Step4: Create point N

Then, we make an arc that intersects the circle to create point \( N \). This is step D.

Step5: Draw the tangent

Finally, we draw the tangent line from \( P \) to \( N \). This is step C.

Answer:

The correct sequence is: B, E, A, D, C