Question 14 Marks
Here is a picture of a car wheel.
1. Awhat is the order of rotational symmetry for this wheel?
1. Awhat is the order of rotational symmetry for this wheel?
Answer
View full question & answer→$10. 6$
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Question 24 Marks
A quadrilateral is drawn on a square grid. $O$ is the dot marked on one vertex of the quadrilateral.
$1.$ How many lines of symmetry are there in this quadrilateral$?$
$A. 0$
$B. 1$
$C. 2$
$D. 4$
$2. $ Draw three more congruent quadrilaterals around $O$ so that the complete figure has rotation
symmetry of order four.
$3.$ Which of the following statements about a parallelogram’s symmetry is true$?$
$A.$ A parallelogram has neither a line of symmetry nor rotational symmetry.
$B.$ A parallelogram has a line of symmetry but no rotational symmetry.
$C.$ A parallelogram has a point of symmetry and rotational symmetry.
$D.$ A parallelogram has rotational symmetry but no point or line symmetry.
$4.$ Jyoti claims that rotational symmetry of order $1$ implies no rotational symmetry. Do you agree or disagree with her claim$?$ Give reasons.
$1.$ How many lines of symmetry are there in this quadrilateral$?$
$A. 0$
$B. 1$
$C. 2$
$D. 4$
$2. $ Draw three more congruent quadrilaterals around $O$ so that the complete figure has rotation
symmetry of order four.
$3.$ Which of the following statements about a parallelogram’s symmetry is true$?$
$A.$ A parallelogram has neither a line of symmetry nor rotational symmetry.
$B.$ A parallelogram has a line of symmetry but no rotational symmetry.
$C.$ A parallelogram has a point of symmetry and rotational symmetry.
$D.$ A parallelogram has rotational symmetry but no point or line symmetry.
$4.$ Jyoti claims that rotational symmetry of order $1$ implies no rotational symmetry. Do you agree or disagree with her claim$?$ Give reasons.
Answer
View full question & answer→$6. A. 0$
$7.$ Draw parallelograms such that igure has four rotation symmetry.
$8. C.$ A parallelogram has a point of symmetry and rotational symmetry.
$9.$ Shows understanding of rotational symmetry
● Agree, every object looks similar after $360^\circ $ rotation.
$7.$ Draw parallelograms such that igure has four rotation symmetry.
$8. C.$ A parallelogram has a point of symmetry and rotational symmetry.
$9.$ Shows understanding of rotational symmetry
● Agree, every object looks similar after $360^\circ $ rotation.
Question 34 Marks
The picture shows a girl and her relection in a mirror.
$1.$ Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
$2. $ The girl has her right hand raised. Why does it look like her left hand in the mirror image?
$3.$ Points $P, Q, R$ and $S$ are marked on the girl and their mirror relections $P’, Q’, R’$ and $S’$ are marked on the image. Which point and its image in the mirror have the greatest distance between them?
$A. P$ and $Q$
$B. Q$ and $Q’$
$C. R$ and $R’$
$D. P’$ and $S’$
$4.$ Which type of symmetry does the picture show$?$
$A.$ Line symmetry
$B.$ Point symmetry
$C.$ Rotation symmetry
$D.$ Relection symmetry
$5. $ In the above picture, $XYZW$ is a mirror. Why does it produce a symmetric image? Give your explanation using the points shown in the image.
$1.$ Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
$2. $ The girl has her right hand raised. Why does it look like her left hand in the mirror image?
$3.$ Points $P, Q, R$ and $S$ are marked on the girl and their mirror relections $P’, Q’, R’$ and $S’$ are marked on the image. Which point and its image in the mirror have the greatest distance between them?
$A. P$ and $Q$
$B. Q$ and $Q’$
$C. R$ and $R’$
$D. P’$ and $S’$
$4.$ Which type of symmetry does the picture show$?$
$A.$ Line symmetry
$B.$ Point symmetry
$C.$ Rotation symmetry
$D.$ Relection symmetry
$5. $ In the above picture, $XYZW$ is a mirror. Why does it produce a symmetric image? Give your explanation using the points shown in the image.
Answer
View full question & answer→$1.$ No with valid justiication
● No, there is no ixed line which divides the igure into two identical parts.
$2.$ Shows understanding of change in orientation in a mirror relection Mentions change in lateral position when mirror relections are used.
● In mirror relection, left-right orientation changes.
$3. C. R$ and $R’$
$4. D$. Relection Symmetry
$5.$ A valid justiication is provided
● The distance between a point on the object and a point on its image is the same from the mirror surface.
● Mirror produce point symmetry across its plane
● No, there is no ixed line which divides the igure into two identical parts.
$2.$ Shows understanding of change in orientation in a mirror relection Mentions change in lateral position when mirror relections are used.
● In mirror relection, left-right orientation changes.
$3. C. R$ and $R’$
$4. D$. Relection Symmetry
$5.$ A valid justiication is provided
● The distance between a point on the object and a point on its image is the same from the mirror surface.
● Mirror produce point symmetry across its plane