Loci and constructions

Which word means "cut in 2 equal parts"?

• Intersect

• Bisect

• Perpendicular

• Parallel

Two lines do not meet. Which statement must be correct?

• The lines are perpendicular

• The lines cross at 45⁰

• The lines are parallel

• The lines are equal in length

Two lines meet at 90⁰

Which statement must be correct?

• The lines are parallel

• The lines are perpendicular

• The lines are the same

• The lines are equal in length

• Some points are closer to X than Y

• Some points are closer to Y than X

• All points are the midpoint of XY

• All points are the same distance from X as they are from Y

A point P is always 4cm from a fixed line XY.

Which is the locus of P?

• One line, parallel to XY, 4cm from XY

• Two lines, each parallel to XY, each 4cm from XY

• Perpendicular bisector of XY

• Circle of radius 4cm, centre X

A point P is always 8cm from a fixed point X.

Which is the locus of P?

• Circle radius 8cm, centre P

• Circle radius 8cm, centre X

• Circle diameter 8cm, centre X

• Circle diameter 8cm centre P

A point P is always the same distance from line EF and line FG. What is the locus of P?

• Circle, centre E, radius EF

• Bisector of angle EGF

• Bisector of angle EFG

• Line parallel to both EF and FG

Which statement describes the shaded region?

• Less than 4cm from P

• Less than 8cm from P

• Greater than 4cm from P

• Exactly 4cm from P

Which statement describes the shaded region?

• Less than 2cm from X

• Greater than 2cm from X

• Less than 3cm from X

• Greater than 2cm and less than 3cm from X