English

Using Only a Ruler and Compass Construct ∠Abc = 120°, Where Ab = Bc = 5 Cm. (I) Mark Two Points D and E Which Satisfy the Condition that They Are Equidistant from Both Aba and Bc. (Ii) in the Above

Advertisements
Advertisements

Question

Using only a ruler and compass construct ∠ABC = 120°, where AB = BC = 5 cm.
(i) Mark two points D and E which satisfy the condition that they are equidistant from both ABA and BC.
(ii) In the above figure, join AD, DC, AE and EC. Describe the figures:
(a) AECB, (b) ABD, (c) ABE.

Sum
Advertisements

Solution

(i) and (ii)

(a) A quadrilateral
(b) A triangle
(c) A triangle.

shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Loci - Figure Based Questions

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 17 Loci
Figure Based Questions | Q 17

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Use ruler and compasses only for this question:

I. Construct  ABC, where AB = 3.5 cm, BC = 6 cm and ABC = 60o.
II. Construct the locus of points inside the triangle which are equidistant from BA and BC.
III. Construct the locus of points inside the triangle which are equidistant from B and C.
IV. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and records the length of PB.


Construct a triangle BCP given BC = 5 cm, BP = 4 cm and ∠PBC = 45°.

  1. Complete the rectangle ABCD such that:
    1. P is equidistant from AB and BC.
    2. P is equidistant from C and D.
  2. Measure and record the length of AB. 

Two straight roads AB and CD cross each other at Pat an angle of 75°  . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads. 


Construct a rhombus ABCD with sides of length 5 cm and diagonal AC of length 6 cm. Measure ∠ ABC. Find the point R on AD such that RB = RC. Measure the length of AR. 


In given figure 1 ABCD is an arrowhead. AB = AD and BC = CD. Prove th at AC produced bisects BD at right angles at the point M


Describe completely the locus of a point in the following case:

Centre of a circle of varying radius and touching the two arms of ∠ ABC. 


Without using set squares or protractor construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120°.
(i) Locate the point P such that ∠BAp = 90° and BP = CP.
(ii) Measure the length of BP.


State and draw the locus of a swimmer maintaining the same distance from a lighthouse.


Without using set squares or a protractor, construct:

  1. Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
  2. Draw the locus of a point which moves so that it is always 2.5 cm from B.
  3. Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
  4. Mark the point of intersection of the loci with the letter P and measure PC.

Ruler and compass only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
(i) Construct Δ ABC, in which BC = 8 cm, AB = 5 cm, ∠ ABC = 60°.
(ii) Construct the locus of point inside the triangle which are equidistant from BA and BC.
(iii) Construct the locus of points inside the triangle which are equidistant from B and C.
(iv) Mark as P, the point which is equidistant from AB, BC and also equidistant from B and C.
(v) Measure and record the length of PB.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×