Question 2 :
If an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.
Question 3 :
The number of lines of symmetry in a ${30^0 -60^0 -90^0}$ set square is
Question 4 :
If a rectangle has more than two lines of symmetry, then it must be a square.
Question 5 :
The order of rotational symmetry a figure which does not have rotational symmetry is:
Question 7 :
The image of the point $(1, 6, 3)$ in the line $\displaystyle \frac{x}{1}= \displaystyle \frac{y-1}{2}= \displaystyle \frac{z-2}{3}$ has the coordinates
Question 8 :
Write the letters of the word 'MATHEMATICS' which have no line of symmetry.
Question 9 :
Fill in the blanks.<br/>Rotation turns an object about a  <u>  </u><u>P  </u> point. The fixed point is the centre of <u>  </u><u>Q   </u><u></u>. The angle by which the object rotates is the  <u></u><u>  </u><u>R  </u>.<br/>Then, P   Q   R is:
Question 10 :
The reflection of the point $P(1,0,0)$ in the line $\displaystyle \frac { x-1 }{ 2 } =\frac { y+1 }{ -3 } =\frac { z+10 }{ 8 } $ is
Question 11 :
The image of the line $2x - y = 2$ in the line $x + y = 0$ is
Question 12 : <p class="MsoNormal">Statement- 1 :</p> <p class="MsoNormal">The point ${A}(1,0,7)$ is the mirror image of the point ${B}(1,6,3)$ in the line $\displaystyle \dfrac{{x}}{1}=\dfrac{{y}-1}{2}=\dfrac{{z}-2}{3}$</p> <p class="MsoNormal">Statement-2:</p> <p class="MsoNormal">The line: $\displaystyle \dfrac{{x}}{1}=\dfrac{{y}-1}{2}=\dfrac{{z}-2}{3}$ bisects the line segment joining ${A}(1,0,7)$ and ${B}(1,6,3)$.</p>
Question 13 :
If $P=(8,6)$and R is the rotation through $90^\circ$ about O, then $R_{-90}O(P)$ is
Question 14 :
A line $y=x$ is rotated through $45^o$ . Find the new angle made by line with X axis.
Question 15 :
The reflection point of the point $(0,3,-2)$ in the line $\frac{{1 - x}}{2} = 2 - y = z + 1$ is
Question 16 :
State whether the statement are true (T) or false (F).<br>If an isosceles triangle has more than on line of symmetry, then it must be an equilateral triangle.
Question 17 :
A rectangle DEFGis plotted in XY plane.The co-ordinates of D ,E ,F and G are $(2,2)$ ,$(9,2)$ , $(9,10)$ and $(2,10)$. Find the new co-ordinates of F when DEFG is rotated $270$ <br> $^o$ around origin.
Question 18 :
out of the given four options only one is correct . Write the correct answer.<br/>The number of lines of symmetry in a scalene triangle is:<br/>
Question 19 :
The image of the origin in the line $\dfrac {x+1}{2}=\dfrac {y-2}{3}=\dfrac {z}{\sqrt 3}$ is<br>
Question 20 :
A rectangle DEFGis plotted in XY plane.The co-ordinates of D ,E ,F and G are $(2,2)$ ,$(9,2)$ , $(9,10)$ and $(2,10)$. Find the new co-ordinates of Ewhen DEFG is rotated $270$ <br> $^o$ around origin.
Question 21 :
If the local time at Varanasi, located at $83^{\circ}E$ longitude is $23:00$ hour then what will be the local time at Kibithu located at $97^{\circ}E$ longitude (Arunachal Pradesh) and Jodhpur, located at $73^{\circ}E$ longitude?
Question 22 :
A rectangle DEFGis plotted in XY plane.The co-ordinates of D ,E ,F and G are $(2,2)$ ,$(9,2)$ , $(9,10)$ and $(2,10)$. Find the new co-ordinates of G when DEFG is rotated $270$ <br> $^o$ around origin.
Question 23 :
State whether the statement are true (T) or false (F).<br>A square and a rectangle have the same number of lines of symmetry.
Question 24 :
The image of the origin in the line joining the points $(-9, 4, 5)$ and $(11, 0, -1)$ is<br/>
Question 25 :
Statement-$1$: The point ${A} (3, 1 , 6)$ is the mirror image of the point ${B}(1,3,4)$ in the plane $x-y+z=5$. <br/>Statement-$2$: The plane $x-y+z=5$ bisects the line segment joining ${A} (3, 1 , 6)$ and ${B}(1,3,4)$.  <br/>
Question 26 :
Statement 1: The point $A(1,0,7)$ is the mirror image of the point $B(1,6,3)$ in the line $\cfrac{x}{1}=\cfrac{y-1}{2}=\cfrac{z-2}{3}$<br>Statement-2: The line $\cfrac{x}{1}=\cfrac{y-1}{2}=\cfrac{z-2}{3}$ bisects the line segment joining $A(1,0,7)$ and $B(1,6,3)$
