Question

Nadine is constructing a line perpendicular to KE←→ . She has constructed the arcs as shown. What is the next step in her construction?

Use a straight edge to draw a line through D and M.

Use a straight edge to draw a line through M and K.

Use a straight edge to draw a line through M and E.

The image shows a horizontal line with points K, D, and E from left to right. Point D looks halfway between points K and E. An arc is shown at point K turning inwards towards point D. An arc is shown at point E turning inwards towards point D. Above point D is point M. Two arcs go through point M. One arc faces southwest towards point K and one points southeast towards point E. A line m and an arc. An arc is drawn on line m through center P. Center P lies above the line m. The arc cuts the line on two points labeled as X and Y. Two rays share a common endpoint at R. One ray is horizontal, pointing to the left. The second ray is vertical in an upward direction. A horizontal line segment M N with endpoints labeled as M and N. A horizontal line j and a point A are drawn. The point A is below the horizontal line j.

Answer 1

The correct answer is "Draw a straight line from D to M". In order to draw a perpendicular line to line KDE you need to create two acrs that intersect above or below KDE. This is illustrated by the point M. This is the point that will create a perpendicular line and intersect KDE at a 90 degree angle.