Question

The figure shows the steps to construct a perpendicular segment to a line through a point on that line. The steps are in an incorrect order. What is the correct order of the steps to construct a perpendicular segment to a line through a point on that line? A. DBCA B. DBAC C. BCAC D. BDCA

Answer 1

Answer: BDCA

Explanation:

Start from point B.

Measure the distance BD.

Draw intersecting arcs of this distance from points C and point D above the line. Name this point E.

Join B and E to draw the perpendicular segment

Answer 2

D. BDCA

Explanation:

B Start with the segment with point P. Center the compass at P and, with the same radius, strike two marks on the line on both sides of point P. Call these point A and D.

D Center the compass at D open the compass to a radius greater than the length DP.

C Draw an arc above segment CD. Center the compass at C, and using the same radius, draw another arc above segment CD that intersects the previous arc.

A Draw a line from the point of intersection of the arcs to point P. The is the perpendicular to line AB through point P.

Answer: BDCA