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ICSE Class X Mid-term 2020 : Mathematics

4 pages, 69 questions, 1 questions with responses, 1 total responses,    0    0
Sumanta Pan
Oxford High School, Howrah
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Math Assignment Reflection 1. Use graph paper for this question. (Take 2 cm = 1 unit along the both x and y axis.) Plot the points O (0, 0), A (- 4, 4), B (- 3, 0) and C (0, - 3) i. ii. iii. Reflect points A and B on the y axis and name them A and B respectively. Write down their coordinates. Name the figure OABCB A . State the line of symmetry of this figure. 2. Use graph paper for this question. (Take 2 cm = 1 unit along the both x and y axis.) i. ii. iii. iv. Plot the points A (-4 , 2) and B (2, 4) A is the image of A when reflected in the Y axis. Plot in on the graph paper and write the co ordinates of A . B is the image of B when reflected in the line AA . Write the co ordinates of B . Write the geometric name of the figure ABA B . 3. Using graph paper and taking 1 cm=1 unit along both x-axis and y-axis. i. ii. iii. iv. v. Plot the points A ( 4, 4) and B (2, 2) Reflect A and B in the origin to get images A and B respectively. Write down the co-ordinates of A and B . Give the geometrical name for the figure ABA B Draw and name its lines of symmetry. 4. Using a graph paper, plot the points A (6, 4) and B (0, 4) i. ii. iii. iv. Reflect A and B in the origin to get the images A and B . Write the co ordinates of A and B . State the geometrical name for the figure ABA B . Find its perimeter and area. 5. Use graph paper for this question The point P (5, 3) was reflected in the origin to get the image P . i. Write down the co ordinate of P . Math Assignment Reflection ii. iii. iv. v. If M is the foot of the perpendicular from P to the X axis, then find the co ordinates of M. If N is the foot of the perpendicular from P to the X axis, then find the co ordinates of N. Name the figure PMP N. Find the area of the figure PMP N. 6. Use a graph paper for this question. Take 1 cm = 10 units on both axes Plot the points P (3, 2) and Q (- 3, - 2). From P and Q, draw perpendiculars PM and QN on the X axis. i. ii. iii. Name the image of P on reflection in the origin. Assign the special name to the geometrical figure PMQN and find its area. Write the co ordinates of the point to which M is mapped on reflection in a) X axis. b) Y axis. c) Origin. 7. Use the graph paper for the question A (1, 1), B (5, 1), C (4, 2) and D (2, 2) are the vertices of a quadrilateral. Name the quadrilateral ABCD. A, B, C, D are reflected in the origin onto 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? 8. Use a graph paper for this question (Take 2 cm = 1 unit on both X and Y axis) i. Plot 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 co ordinates. 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 of the line of symmetry of figure formed. 9. Use graph paper for this question (Take 2 cm = 1 unit along both X and Y axis). ABCD is a quadrilateral whose vertices are A (2, 2), B (2, - 2), C (0, -1) and D (0, 1) Math Assignment Reflection i. ii. iii. iv. Reflect quadrilateral ABCD on the Y axis and name it s A B CD. Write down the co ordinates of A and B . Name two points which are invariant under the above reflection. Name the polygon A B CD. 10. With the help of a graph paper, taking 1 cm = 1 unit along X and Y axis: i. ii. iii. iv. Plot point A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3) Reflect points B, C and D on Y axis and name them as B , C and D respectively. Write the co ordinates of B , C and D . Write the equation of line B D . Name the figure BCDD C B B. 11. Use graph paper for the equation. The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of ABC. i. ii. iii. Write down the co ordinates of A , B , C , if A B C are the image of ABC, when reflected in the origin. Write down the co ordinates of A", B", C", if A", B", C" are the image of ABC when reflected in the X axis. Mention the special name of the quadrilateral BCC"B" and find its area. 12. Use graph paper to answer this question. i. ii. iii. iv. Plot the points A (4, 6) and B (1, 2). A is the image of A, when reflected in X axis. B is the image of B, when B is reflected in X = 4. Give the geometrical name for the figure ABA B . 13. Use graph paper for this question. (Take 2 cm = 1 unit along both X and Y axis.) Plot the points O (0, 0), A (- 4, 4), B (-3, 0) and C (0, - 3) i. ii. iii. 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 C . State the line of symmetry of this figure. Math Assignment Reflection 14. The 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 . Using graph paper, give i. ii. iii. iv. The co ordinates of P and O The lengths of the segments PP and OO . The perimeter of the quadrilateral POP O . The geometrical name of the figure POP O .

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