Home
Class 6
MATHS
Study the diagram. The line l is perpend...

Study the diagram. The line l is perpendicular to line m (a) Is `CE = EG` (b) Does `PE` bisect ``CG = (c) Identify any two line segments for which PE is the perpendicular bisector. (d) Are these true? (i) `AC>EG` (ii) `CD=GH` (iii) `BC

Text Solution

Verified by Experts

(a) Yes, CE = EG
Since, CE = 2 units and EG = 2 units
Hence, CE = EG.
(b) Yes, PE bisects CG, because CE = EG.
(c) The two line segments for which PE is perpendicular bisector are: BG and DF
(d) Yes, all three points are true
Since, AC = 2 units and FG = 1 units
CD = 1 units and GH = 1 units
BC = 1 units and EH = 3 units.
Hence, `AC gt FG, CD = GH, BC lt EH.`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNDERSTANDING ELEMENTARY SHAPES

    NCERT|Exercise EXERCISE 5.7|3 Videos

  • SYMMETRY

    NCERT|Exercise EXERCISE 13.2|6 Videos

  • WHOLE NUMBERS

    NCERT|Exercise SOLVED EXAMPLES|7 Videos

Similar Questions

Explore conceptually related problems

Two chords AB and CD of a circle are parallel and a line l is the perpendicular bisector of AB. Show that l bisects CD

Two chords AB and CD of a circle are parallel and a line l is the perpendicular bisector of AB. Show that l bisects CD

Knowledge Check

  • Two particles each of mass 'm' are placed at A and C are such AB=BC=L . The gravitational force on the third particle placed at D at a distance L on the perpendicular bisector of the line AC is

    A
    `(Gm^(2))/(L^(2))` along `BD`
    B
    `(Gm^(2))/(sqrt(2)L^(2))` along `DB`
    C
    `(Gm^(2))/(L^(2))` along `AC`
    D
    `(Gm^(2))/(sqrt(2)L^(2))` along `BD`

  • Consider the following statements : I. The length p of the perpendicular from the origin to the line ax + by = c satisfies the relation p^(2) = (c^(2))/(a^(2) + b^(2)) . II . The length p of the perpendicular from the origin to the line (x)/(a) + (y)/(b) = 1 satisfies the relation (1)/(p^(2)) = (1)/(a^(2)) + (1)/(b^(2)) . III . The length p of the perpendicular from the origin to the line y = mx + c satisfies the relation (1)/(p^(2)) = (1 + m^(2) + c^(2))/(c^(2)) Which of the above is/are correct

    A
    I , II and III
    B
    I only
    C
    I and II only
    D
    II only

    • Similar Questions

    Explore conceptually related problems

    Which of the following are models for perpendicular lines: (a) The adjacent edges of a table top.(b) The lines of a railway track.(c) The line segments forming the letter L.(d) The letter V.

    Assertion : The line l is parallel to the plane P. Reason: The normal of the plane P is perpendicular to the line l. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

    In the given figure,quadrilateral ABCD is a quadrilateral in which AB=AD and BC=DC . Prove that (i) AC bisects /_A and /_B, (ii) AC.is the perpendicular bisector of BD.

    Identify the parallel and perpendicular lines : (i) Railways tracks (ii) Hands of a clock at 12:15 ltBrgt (iii) Upright pole to the ground (iv) Two upright trees

    The direction cosines of a line satisfy the relations lambda(l+m)=n and mn+nl+lm=0. The value of lambda, for which the two lines are perpendicular to each other,is a.1 b.2 c.1/2 d.none of these

    A (10, 4), B (-4, 9), C (-2,-1) are the vertices of a triangle. Find the equations of i) line AB ii) the median through A iii) the altitude through B iv) the perpendicular bisector of the side line AB

    Home
    Profile