For which of the following conditions the construction of a triangle is NOT possible?
If two sides and one angle is given.
If two sides and included angle between them is given.
If three sides are given.
If two angles and side between them is given.
The construction of aΔLMNin which LM = 8 cm, ∠L=45 is possible when (MN + LN) is ___ .
6cm
7cm
9cm
5cm
Which of the following angles CANNOT be constructed by using ruler and compass only?
30
45
70
90
The construction of a ΔABC in which BC = 6 cm and ∠B=50ois NOT possible when (AB - AC) is equal to ___ .
5.6cm
5cm
6cm
4.8cm
Which of the following options is INCORRECT?
An angle of 52.5 can be constructed.
A triangle ABC can be constructed in which AB = 5 cm, ∠A=45 and BC + AC = 5 cm.
A triangle ABC can be constructed in which BC = 6 cm, ∠C=30 and AC - AB = 4 cm.
A triangle ABC can be constructed in which ∠B=60o,∠C=45 and AB + BC + AC = 12 cm.
Following are the steps of construction of a ΔABCin which AB = 5 cm, ∠A=30 and AC - BC = 2.5 cm. Arrange them and select the CORRECT option. (i) Draw ∠BAX=30degrees (ii) Draw the perpendicular bisector of BD which cuts AX at C. (iii) Draw AB = 5 cm (iv) Join BD (v) Join BC to obtain the required triangle ABC (vi) From ray AX, cut off line segment AD = AC-BC= 2.5 cm
(i)→(iii)→(iv)→(v)→(vi)→(ii)
(iii)→(i)→(vi)→(iv)→(ii)→(v)
(iii)→(i)→(ii)→(v)→(iv)→(vi)
(iii)→(ii)→(iv)→(i)→(vi)→(v)
State T for true and 'F' for false. (i) A triangle whose sides measure 8 cm, 4 cm and 12 cm can be possible. (ii) It is possible to construct an angle of 67.5 using ruler and compass only. (iii) It is possible to construct aΔXYZin which ∠X=60o,∠Y=100oand∠Z=20.
(i) (ii) (iii) T F T
(i) (ii) (iii) F F F
(i) (ii) (iii) F T T
(i) (ii) (iii) T T F
Let ABC be a triangle in which BC = 5 cm, ∠B=60 and AC + AB = 7.5 cm. Given below are the steps of constructing the triangle ABC. Which of the following steps is INCORRECT? Step I: Draw a line segment BC of length 5 cm. Step II: Draw an ∠XBC=60 at point B of line segment BC. Step III: Cut off PB = 3.5 cm on the ray BX. Step IV: Join PC. Step V: Draw⊥bisector of BC which intersect ray BX at A. Join AC. Step VI: ABC is the required triangle.
Step II only
Step IIl only
Step II and V
Step IIl and V
Following are the steps of construction of a rectangle ABCD whose adjacent sides are of lengths 5 cm and 3.5 cm. Arrange them and select the CORRECT option. (p) Draw a line segment BC of length 5 cm. (q) With A as centre, draw an arc of radius 5 cm. (r) Draw an∠XBC=90 at point B of line segment BC. (S) Cut a line segment AB = 3.5 cm on BX−→−− (T) With C as centre, draw an arc of radius 3.5 cm which intersects the arc at D. (U) Join AD and CD.
(p)→(s)→(q)→(r)→(u)→(t)
(p)→(r)→(s)→(q)→(t)→(u)
(p)→(s)→(r)→(q)→(t)→(u)
(p)→(q)→(r)→(s)→(u)→(t)
Step I & Step V are in correct order while constructing an equilateral triangle one of whose altitudes measures 5 cm. Which of the following options is CORRECT while arranging the remaining steps in CORRECT order? Step I : Draw a line XV. (i) From∠P,set off PA = 5 cm, cutting PQ at A (ii) From P, draw PQ⊥XY. (iii) Mark any point P an XY. Step V : Construct ∠PAB=30 and ∠PAC=30 ,meeting XY at B and C respectively.
(i)→(ii)→(iii)
(iii)→(ii)→(i)
(ii)→(i)→(iii)
(iii)→(i)→(ii)
With the help of a ruler and a compass it is not possible to construct an angle of
37.5°
40°
22.5°
67.5°
Which of the following sets of angles can be the angles of a triangle?
30°, 60°, 80°
40°, 60°, 70°
50°, 30°, 100°
None
If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠C.
40
70
80
90
Which of the following angle can be constructed with the help of a ruler and a pair of compasses?
35
40
37.5
47.5
The construction of a triangle ABC, given that BC = 6 cm, <B = 45° is not possible when difference of AB and AC is equal to