MCQ 511 Mark
A regular pentagon has ____ lines of symmetry.
AnswerA regular pentagon has $5$ lines of symmetry as shown in the figure:
View full question & answer→MCQ 521 Mark
State the number of lines of symmetry for an isosceles triangle.
AnswerAs there is only one face from where it is folded then makes angles of symmetry.
View full question & answer→MCQ 531 Mark
How many lines of symmetry are there in a rectangle?
MCQ 541 Mark
The order of the rotational symmetry of the parallelogram about the centre is:
AnswerThe order of the rotational symmetry of the parallelogram about the center is $2$.
View full question & answer→MCQ 551 Mark
A line $y = x$ is rotated through $45°$. Find the new angle made by line with $X$ axis.
AnswerThe angle made by line $y = x$ is $45^\circ$ and $45^\circ$ is rotated then angle becomes $45^\circ + 45^\circ = 90^\circ$
View full question & answer→MCQ 561 Mark
John notices that a standard piece of paper is a rectangle ... how many lines of symmetry does it have?
AnswerIt has just $2$ lines of symmetry, $l$ and $m$
Some people think that the lines along the diagonals (like n) are also lines of symmetry; but when you reflect along that line n, the image
does not fit the outline of the original.
View full question & answer→MCQ 571 Mark
Total number of edges in a cylinder is:
AnswerA cylinder has only $2$ edges as shown in the figure:
View full question & answer→MCQ 581 Mark
State the number of lines of symmetry a regular hexagon.
AnswerThere are six lines about which the figure may be folded.
View full question & answer→MCQ 591 Mark
Tick $(\checkmark)$ the correct answer.
A circle has:
- A
- B
- C
- ✓
An unlimited number of lines of symmetry.
AnswerCorrect option: D. An unlimited number of lines of symmetry.
An unlimited number of lines of symmetry.
View full question & answer→MCQ 601 Mark
What is the order of rotational symmetry of a regular pentagon?
Answer
A pentagon has $5$ rotational symmetry as shown in figure has $5$ point when rotated produces symmetrical image. View full question & answer→MCQ 611 Mark
Letter $‘G’$ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
- ✓
Neither horizontal nor vertical
- B
- C
- D
AnswerCorrect option: A. Neither horizontal nor vertical
Neither horizontal nor vertical
View full question & answer→MCQ 621 Mark
A parallelogram has ______ lines of symmetry:
AnswerA parallelogram has no lines of symmetry because if we take one or more lines then we can not get the mirror reflection.
View full question & answer→MCQ 631 Mark
A regular hexagon has ____ lines of symmetry.
AnswerA regular hexagon has $6$ lines of symmetry as shown in the figure:
View full question & answer→MCQ 641 Mark
The number of lines of symmetry for a line segment are _____.
AnswerIf $AB$ is a line segment, then a line l, which is perpendicular bisector of $AB$, is the line of symmetry.
View full question & answer→MCQ 651 Mark
When a torch is pointed towards one of the vertical edges of a cube, we get a shadow of cube in the shape of:
- A
- ✓
Rectangle but not a square
- C
- D
AnswerCorrect option: B. Rectangle but not a square
When a torch is pointed towards one of the vertical edges of a cube, we get a shadow of cube in the shape of the rectangle but not a square.
View full question & answer→MCQ 661 Mark
The mirror image of ‘W’, when the mirror is placed vertically:
AnswerThe mirror image of $W$, when the mirror is placed vertically is $W$ as shown in the figure:
View full question & answer→MCQ 671 Mark
Tick $(\checkmark)$ the correct answer.
In $\Delta\text{ABC},\text{AB}=\text{AC}\text{ and}$$\text{AD}\bot\text{ BC,BE }\bot\text{ AC}\text{ and}$$\text{CF }\bot\text{ AB.}\text{ Then }\Delta\text{ ABC}$ is symmetrical about:
View full question & answer→MCQ 681 Mark
Draw a triangle $ABC$ by joining the points $A (2, 4), B (-3, 2), C (-1, -1)$ on the graph. Now rotate the triangle through $180^\circ $ about the origin in clockwise direction and find the new points obtained.
- A
$A (-2, -4), B (3, 2), C (1, 1)$
- B
$A (2, 4), B (3, 2), C (-1, -1)$
- ✓
$A (-2, -4), B (3, -2), C ( 1, 1)$
- D
$A (-2, 4), B (-3, -2), C (1, 1)$
AnswerCorrect option: C. $A (-2, -4), B (3, -2), C ( 1, 1)$
Given - coordinates of triangle ABC,$ A (2, 4), B (-3, 2), F (9, 10), C (-1, -1)$
Now Rotate it clock wise through $180^\circ $ about origin or Rotate the coordinate axis anti - clockwise through $180^\circ .$
After rotation coordinate axis anti - clockwise through $180^\circ $, point $A$ will lie in $3^{rd}$ quadrant,
hence coordinate of $A$ will become $(-2, -4).$
similarly, point $B$ will lie in $4^{th}$ quadrant,
hence coordinate of $B$ will become $(3, -2)$. and point $C$ will lie in $1^{st}$ quadrant,
hence coordinate of $C$ will become $(1, 1).$
View full question & answer→MCQ 691 Mark
Out of the following, which is a $3 - D$ figure.
AnswerSphere is a $3 - D$ figure. Rest of all are $2 - D$ figures.
View full question & answer→MCQ 701 Mark
Find the number of lines of symmetry in a scalene triangle.
AnswerA scalene triangle has no lines of symmetry because if we take one or more lines then we can not get the mirror reflection.
View full question & answer→MCQ 711 Mark
A parallelogram has ______ lines of symmetry:
AnswerA parallelogram has no lines of symmetry because if we take one or more lines then we can not get the mirror reflection.
View full question & answer→MCQ 721 Mark
A In A $XYZ, XY = XZ$ and $XM⊥YZ$ and $ZP⊥XY$. About which of the following is the triangle symmetrical?
View full question & answer→MCQ 731 Mark
The letter of English alphabets which have more than $2$ lines of symmetry is:
AnswerThe letter $Z$ has no line of symmetry.
The letter $E$ has one line of symmetry.
The letter $H$ has two lines of symmetry.
The letter $O$ has more than two lines of symmetry.
This is because infinite number of lines passes through the point symmetry about the centre $O$ with all possible diameters.
View full question & answer→MCQ 741 Mark
The number of lines of symmetry of a rectangle is:
AnswerThe number of lines of symmetry of a rectangle is $2$.
Hence, the correct answer is option $(a)$. View full question & answer→MCQ 751 Mark
If a triangle has $3$ lines of symmetry, then it is:
AnswerIn an equilateral triangle, the three angle bisectors of the three angles are the lines of symmetry.
View full question & answer→MCQ 761 Mark
A windmill has four blades and rotational symmetry of the order $2 × K$. Find $K$.
AnswerThe windmill of four blades has rotational symmetry of order 4
$\therefore$ $2 \times K = 4$
$\therefore$ $K = 2$
View full question & answer→MCQ 771 Mark
The angle of rotation symmetry for a shape is $60$. What is the order of rotational symmetry?
AnswerA hexagon has angle of rotation $60^\circ $.
Hexagon has $6$ line of symmetry.
$\frac{360^\circ}{6}=60^\circ$
View full question & answer→MCQ 781 Mark
The number of lines of symmetry in a $30^\circ - 60^\circ - 90^\circ$ set square is:
AnswerThis set square shows scalene triangle which has no line symmetry.
View full question & answer→MCQ 791 Mark
A regular pentagon has ____ lines of symmetry.
AnswerA regular pentagon has $5$ lines of symmetry as shown in the figure:
View full question & answer→MCQ 801 Mark
- A
Open figure made of only two line segments.
- B
Closed figure made of only two line segments.
- C
Open figure made of several line segments.
- ✓
Closed figure made of several line segments.
AnswerCorrect option: D. Closed figure made of several line segments.
A polygon is a closed figure made of several line segments.
$Ex:$ triangle, square, rectangle, etc are closed polygon figures and have more than two line segments.
View full question & answer→MCQ 811 Mark
State the number of lines of symmetry for a rhombus.
AnswerThere are two lines about which the figure may be folded.
View full question & answer→MCQ 821 Mark
The number of lines of symmetry in a picture of Taj Mahal is ______.
AnswerIf you drew a line down the middle of the picture, you would notice that each side of the Taj Mahal looks exactly the same.
This means the building has one line of symmetry. Symmetry is when an object looks the exact same on one side as the other.
View full question & answer→MCQ 831 Mark
The image of the origin in the line joining the points $(-9, 4, 5)$ and $(11, 0, -1)$ is:
- ✓
$(2, 4, 4)$
- B
$(1, 2, 2)$
- C
$(1, 2, 3)$
- D
$(2, 2, 1)$
AnswerCorrect option: A. $(2, 4, 4)$
Let $BC$ be the given line
Let there be a point $D$ on $BC$ such that $OD$ is perpendicular to $BC$.
Any general point on BC can be written as $(-9 + 20k, 4 - 4k, 5 - 6k)$
Now drs of $BC = (20, -4, -6)$,
drs of $OD = (-9 + 20k, 4 - 4k, 5 - 6k)$
Since $OD$ is perpendicular to $BC, OD.BC = 0$
$-180 + 400k - 16 + 16k - 30 + 36k = 0$
i.e k $= 0.5$
Putting the value of $k$ back in $D$,
$D (1, 2, 2)$
Let the image of the origin in line $BC$ be $E$.
Since $E$ is the mid point of $OD$ we get $E$ to be$ (2, 4, 4).$
View full question & answer→MCQ 841 Mark
The letter which has both line and rotational symmetry is:
AnswerThe letter which has both lines and rotational symmetry is $H$.
View full question & answer→MCQ 851 Mark
Statement 1: The point $A (1, 0, 7)$ is the mirror image of the point $B (1, 6, 3)$ in the line$\frac{\text{x}}{1}=\frac{\text{y}-1}{2}=\frac{\text{z}-2}{3}$
Statement 2: The line: $\frac{\text{x}}{1}=\frac{\text{y}-1}{2}=\frac{\text{z}-2}{3}$ bisects the line segment joining $A (1, 0, 7)$ and $B (1, 6, 3).$
- A
Statement-$1$ is true, Statement-$2$ is true; Statement-$2$ is a correct explanation for Statement-$1$.
- ✓
Statement-$1$ is true, Statement-$2$ is true; Statement-$2$ is not a correct explanation for Statement-$1$
- C
Statement-$1$ is true, Statement-$2$ is false
- D
Statement-$1$ is false, Statement-$2$ is true.
AnswerCorrect option: B. Statement-$1$ is true, Statement-$2$ is true; Statement-$2$ is not a correct explanation for Statement-$1$
The direction ratio of the line segment joining points $A (1, 0, 7)$ and $B (1, 6, 3)$ is $0, 6, -4.$
The direction ratio of the given line is $1, 2, 3$.
Clearly $1.0 + 2.6 + 3.(-4) = 0$
So, the given line is perpendicular to line AB.
Also , the mid point of $A $and $B$ is $(1, 3, 5)$ which lies on the given line.
So, the image of $B$ in the given line is $A$, because the given line is the perpendicularbisector of line segment joining points $A$ and $B$.
View full question & answer→MCQ 861 Mark
Triangle is a ____ line of symmetry.
AnswerTriangle is a $3$ line of symmetry as shown in the figure:
View full question & answer→MCQ 871 Mark
How many lines of symmetry does a regular pentagon have?
Answer
lines of symmetry does a regular pentagon has $5$ line of symmetry as shown in figure View full question & answer→MCQ 881 Mark
A parallelogram has ______ lines of symmetry:
AnswerA parallelogram has no lines of symmetry because if we take one or more lines then we can not get the mirror reflection.
View full question & answer→MCQ 891 Mark
How many lines of symmetry are there in a scalene triangle?
MCQ 901 Mark
Which of the following has an infinite number of lines of symmetry?
AnswerA circle has infinite number of lines of symmetry,
Hence, the correct answer is option $(d)$.
View full question & answer→MCQ 911 Mark
Each face of a cuboid is:
AnswerAll six faces of a cuboid can be rectangles.
$Ex:$ a brick or a shoebox.
View full question & answer→MCQ 921 Mark
If $P$ $= (8, 6)$ and $R$ is the rotation through $90°$ about $O,$ then $R_{-90}$ $O$ $(P)$ is:
- ✓
$(6, -8)$
- B
$(-8, -6)$
- C
$(8, 6)$
- D
$(-8, 6)$
AnswerCorrect option: A. $(6, -8)$
Since, $P$ $= (8, 6)$ and R is the rotation through $90°$ about $O$,
$\therefore$ $R{-90}$ $O (P)$$ = (6, -8)$
Because, $x$ - axis becomes $y$ - axis and $y$ - axis becomes $x$ - axis due to rotation through $90^\circ $ about the origin i.e.,
$R_{-90} O (P) = (6, -8)$
View full question & answer→MCQ 931 Mark
How many lines of symmetries are there in a square?
MCQ 941 Mark
The order of rotational symmetry a figure which does not have rotational symmetry is:
AnswerIf a figure does not have rotational symmetry then the order of rotational symmetry is $0$.
Order of rotational symmetry is equal to number of rotational symmetry.
View full question & answer→MCQ 951 Mark
The number of lines of symmetry in a trapezium is:
AnswerIn a trapezium, the nonparallel sides need not be equal.
Hence, it has no lines of symmetry.
View full question & answer→MCQ 961 Mark
The number of lines of symmetry in a ruler is:
AnswerThe number of lines of symmetry in a ruler is $2$.
View full question & answer→MCQ 971 Mark
The letter of English alphabets which have more than $2$ lines of symmetry is:
AnswerThe letter $Z$ has no line of symmetry.
The letter $E$ has one line of symmetry.
The letter $H$ has two lines of symmetry.
The letter $O$ has more than two lines of symmetry.
This is because infinite number of lines
passes through the point symmetry about the centre $O$ with all possible diameters.
View full question & answer→MCQ 981 Mark
How many lines of symmetries are there in an isosceles triangle?
AnswerAn isosceles triangle has one line of symmetry because if we take one line then we can get the mirror reflection as shown in the figure.
View full question & answer→MCQ 991 Mark
Which of the following letters have reflection line of symmetry about vertical mirror?
Answer
The letter $V$ has reflection line of symmetry about vertical mirror as shown in the figure. View full question & answer→MCQ 1001 Mark
The number of lines of symmetry in compasses is:
AnswerThe number of lines of symmetry in compasses is $0$.
View full question & answer→