WorksheetsRelative positions of straight lines
Total questions: 10
Worksheet time: 16mins
two line segments are adjacent if :
they lie on the same line
they have a common point
they extend in opposite directions from the common point
they are perpendicular to each other
if they make a 180o angle
if AB=BC then B is
midpoint of [BC]
midpoint of [AB]
midpoint of [BA]
None of the following
NM+MJ=NJ means :
M is the midpoint of [NJ]
[NM] and [MJ] are adjacent segments
the sum of their lengths is equal to that of [NJ]
N, M and J are collinear points
consider the adjacent segments KL=4.5cm and LS=9cm, where P is the midpoint of [LS]. what does L represent for [KP]? justify your answer by calculating
parallel lines have
no common points
always the same distance apart
one intersection point
intersect if elongated
Draw (AB) perpendicular to (KR) passing through point Z. Then draw (PO) parallel to (KR). what is the relative position of (AB) and (KR)? justify.
if (a) ∥ (b), and (b) ∥ (z) , then
(a) ⊥ (z)
because if two lines are parallel, every parallel to one is parallel to the other.
(a) ∥ (z)
because if two lines are perpendicular to the same straight line are parallel to each other
(v) ⊥ (n), and (v) ⊥ (c) then
because two lines perpendicular to the same line are parallel to each other
(c) ⊥ (n)
because if two lines are parallel, every perpendicular to one is perpendicular to the other
(c) ∥ (n)
if RS=SD then
S must lie on the perpendicular bisector of [RD]
because if a point is at an equal distance from the endpoints of a line segment, then this point is on the perpendicular bisector of this line segment
because every point on the perpendicular bisector of a segment is at an equal distance from the endpoint of this segment.
S must be the midpoint of [RD]
if point Q is on the perpendicular bisector of [JH], then
JQ=QH
because if a point is at an equal distance from the endpoints of a line segment, then this point is on the perpendicular bisector of this line segment
because every point on the perpendicular bisector of a segment is at an equal distance from the endpoint of this segment.
Q must be the midpoint of [RD]
