Geometric Constructions Review

• construction of a line parallel to a given line

Give the correct sequence of steps for inscribing an equilateral triangle in a circle.

• A, B, C, D, E, F

• D, F, A, C, B, E

• F, D, A, B, C, E

• D, A, F, B, C, E

• construction of a line perpendicular to line AB through point C

• construction for copying line segment AB

• construction of a line parallel to line AB through point C

Which of the following sentences states a property or definition used in the construction of a perpendicular bisector?

• Any point on the perpendicular bisector of a line segment is equidistant from each endpoint of the line segment.

• A line that bisects a line segment must be perpendicular to the line segment.

• Any two points equidistant from the midpoint of a line segment lie on its perpendicular bisector.

• Starting at any intersection of an arc with circle B, connect every other intersection of an arc with circle B with a straight line.

• Connect each intersection of an arc with circle B to the adjacent intersections of arcs with circle B with a straight line.

• Connect every other intersection of an arc with circle B with a straight line.

• Connect each intersection of an arc with circle B to point B with a straight line.

• Set the compass width to CE and draw an arc centered at point E intersecting the first arc.

• Set the compass width to EF and draw an arc centered at point G intersecting the second arc.

• Set the compass width to DE and draw an arc centered at point G intersecting the second arc.

• Set the compass width to CG and draw an arc centered at point G intersecting the second arc.

Yvonne is constructing a line perpendicular to line RS and passing through point A on line RS using only a compass and a straightedge. She has drawn arcs with a compass of set width centered at point A intersecting line RS in two places. Yvonne labeled the points of intersection B and C. Which of the following sentences describes her next step in the construction?

• Place the compass needle on point B and set the width of the compass beyond point A.

• Place the compass needle on Point B and set the width to point A.

• Place the compass needle on point A and set the width to half way between points B and A.

• Place the compass needle on point A and set the width beyond point B.

• W

• X

• Z

• Y

• Z

• Y

• W

• X