Constructions Practice

Which construction is displayed here?

• The construction of two parallel lines

• The construction of a line parallel to a line segment

• The construction of perpendicular lines

• The construction of congruent line segments

What is the next step in construction ∠MNO congruent to ∠ABC using compass and straightedge?

• Use a straightedge to draw the line segment NM.

• With a straightedge, connect points D and E.

• Placing the compass at N and with any compass width, draw an arc intersecting NO. Label the point of intersection P.

• Place the compass at N and with the same radius as before, draw an arc that intersects NO. Label the point of intersection Q.

Which construction is displayed here?

• The construction of two parallel lines

• The construction of congruent angles

• The construction of congruent line segement

• The construction of an angel bisector

Which of the following statements is necessarily true about the given image?

• QP = QP

• T is the midpoint of PR

• QR is the angle bisector of ∠PQR

• ∠PQT and ∠TQR are complementary

What is the first step in the standard construction of the perpendicular bisector of MN?

• Use a compass to draw an arc centered at the midpoint of MN.

• Use a compass to draw an arc centered at M with radius greater than 1/2(MN)

• Use a straightedge to draw a line perpendicular to MN passing through M

• Use a straightedge to draw a line perpendicular and passing through a point on MN.

Reorder the six steps to construct the perpendicular bisector of the given line segment.

• 
• 
• 
• 
• 

Which construction is shown here?

• Construction of Angle Bisector

• Construction of Congruent Angles

• Construction of Congruent Line Segement

• Construction of Perpendicular Bisector

Reorder the following for constructing an angle bisector.

• Place the pivot point on Point A.  Draw an arc that crosses both sides of A.  Label the intersections B and C.

• Draw ray AX.

   

  AX is the angle bisector of Angle CAB.

• Place the pivot point on Point C and draw an arc.  Without changing the compass width, place your pivot point on Point B and draw an arc.  The arcs MUST intersect.  Label the point where both arcs intersect X.

Reorder the following for constructing a congruent angle.

• Draw Ray ST.

   

  Now, Angle S is congruent to Angle S.

• Without changing the compass width, place your pivot point on Point S and draw an arc.  Label the intersection point R.

• Place your pivot point on Point A.  Draw an arc that intersects both side of Angle A.  Label the intersections B and C.

• Open the compass to the length of BC.  Without changing the compass’ width, place the pivot point on Point R.  Draw an arc, where your two arcs cross – place point T.

• Given Angle A, draw Point S and extend a ray from it.

Reorder the following for constructing a perpendicular bisector.

• Place your pivot point on Point A and draw an arc that is over half the distance of AB.

• Start with line segment AB.

• Using your straightedge, connect Point X and Point Y.  XY is now the perpendicular bisector of AB.

• Without changing your compass width, place your pivot point at Point B and draw an arc, where both arcs intersect label it Point X and Point Y.