Use graph paper for this question.
(Take 2 cm = 1 unit along both side x-axis and y-axis.)
Plot the points O(0,0), A(-4, 4), B(-3, 0) and C(0, -3).
- Reflect points A and B on the y-axis and name them A' and B' respectively. Write down their co-ordinates.
- Name the figure OABCB'A'.
- iii. State the line of symmetry of this figure. [Now symmetry is not in course]
Exercise 12 (B) | Q 16 | Page 171
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1. $A^{\prime}=(4,4) A N D B^{\prime}=(3,0)$
2. The figure is an arrow head.
3. iii. The $y$-axis i.e. $x=0$ is the line of symmetry of figure $O A B C B^{\prime} A^{\prime}$.
2. The figure is an arrow head.
3. iii. The $y$-axis i.e. $x=0$ is the line of symmetry of figure $O A B C B^{\prime} A^{\prime}$.
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Similar Questions
- 1View SolutionAttempt this question on graph paper.
(a) Plot A (3, 2) and B (5, 4) on graph paper. Take 2 cm = 1 unit on both the axes.
(b) Reflect A and B in the x-axis to A’ and B’ respectively. Plot these points also on the same graph paper.
(c) Write down:
(i) the geometrical name of the figure ABB’A’;
(ii) the measure of angle ABB’;
(iii) the image of A” of A, when A is reflected in the origin.
(iv) the single transformation that maps A’ to A”.
- 2View SolutionPoints A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image:
(a) A’ of A under reflection in the x-axis.
(b) B’ of B under reflection in the line AA’.
(c) A” of A under reflection in the y-axis.
(d) B” of B under reflection in the line AA”.
- 3View SolutionA (1, 1), B (5, 1), C (4, 2) and D (2, 2) are vertices of a quadrilateral. Name the quadrilateral ABCD. A, B, C, and D are reflected in the origin on to A’, B’, C’ and D’ respectively. Locate A’, B’, C’ and D’ on the graph sheet and write their co-ordinates .
Are D, A, A’ and D’ collinear?
- 4View SolutionOn a graph paper, plot the triangle ABC, whose vertices are at points A (3, 1), B (5, 0) and C (7, 4).
On the same diagram, draw the image of the triangle ABC under reflection in the origin O (0, 0).
- 5View SolutionUsing a graph paper, plot the point A (6, 4) and B (0, 4).
(a) Reflect A and B in the origin to get the image A’ and B’.
(b) Write the co-ordinates of A’ and B’.
(c) Sate the geometrical name for the figure ABA’B’.
(d) Find its perimeter.
- 6View SolutionThe point P (3, 4) is reflected to P’ in the x-axis; and O’ is the image of O (the origin) when reflected in the line PP’.
Write:
(i) the co-ordinates of P’ and O’.
(ii) the length of the segments PP’ and OO’.
(iii) the perimeter of the quadrilateral POP’O’.
(iv) the geometrical name of the figure POP’O’.
- 7The triangle $A B C$, where $A$ is $(2,6), B$ is $(-3,5)$ and $C$ is $(4,7)$, is reflected in the $y$-axis to triangle $A^{\prime} B^{\prime} C^{\prime}$. Triangle $A^{\prime} B^{\prime} C^{\prime}$ is then reflected in the origin to triangle $A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$.View Solution
i. Write down the co-ordinates of $A ^{\prime \prime}, B ^{\prime \prime}$ and $C ^{\prime \prime}$.
ii. Write down a single transformation that maps triangle $A B C$ onto triangle $A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$. - 8The point $P (5, 3)$ was reflected in the origin to get the image $P’.(a)$ Write down the co-ordinates of P’.View Solution
(b) If M is the foot if the perpendicular from P to the x-axis, find the co-ordinates of M.
(c) If N is the foot if the perpendicular from P’ to the x-axis, find the co-ordinates of N.
(d) Name the figure PMP’N.
(e) Find the area of the figure PMP’N. - 9View Solution
Use a graph paper for this question: (Take 2cm = 1 unit on both x and y axes) (i) Plot the following points: A(0,4), B(2,3), C(1,1) and D(2,0).
(ii) Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B', C', D' respectively.
(iii) Join the points A, B, C, D, D', C', B' and A in order, so as to form a closed figure. Write down the equation to the line about which if this closed figure obtained is folded, the two parts of the figure exactly coincide.
- 10View SolutionThe points P (4, 1) and Q (-2, 4) are reflected in line y = 3. Find the co-ordinates of P’, the image of P and Q’, the image of Q.