Question 1: Use graph paper for this question. Plot the points . These points are the vertices of a figure which is symmetrical about . Complete the figure on the graph. Write down the geometrical name of the figure. [2000, 2006]

Answer:

Name of the geometrical figure is a square as all the sides are equal and parallel.

Question 2: Use graph paper for this question. Use 2 cm = 1 unit on both the axes. Plot the points .

(i) Draw the line of symmetry of .

(ii) Mark the point if the line in (i) and the line are both lines of symmetry of the quadrilateral . Write down the co-ordinates of point .

(iii) What kind of quadrilateral is figure ?

(iv) Write down the equation of and the line of symmetry named in (i.) [1996]

Answer:

(i) The dotted line is the line of symmetry. The equation of that line is

(ii) Coordinates of point

(iii) It is a Rhombus.

(iv) The equation of that line is

Question 3: Use graph paper for this question are the vertices of .

(i) Plot the reflection of in the , and write its co-ordinates.

(ii) Give the geometrical name of the figure .

(iii) Write the equation of the line of symmetry of the line . [2010]

Answer:

(i) Plotted above

(ii) The coordinates of

(iii) Arrow Head

(iv) is the equation of line of symmetry

Question 4: Using graph paper and taking 1 cm = 1 unit along both .

(i) Plot the points .

(ii) Reflect in the origin to get the images respectively.

(iii) Write down the co-ordinates of .

(iv) Give the geometrical name for the figure .

(v) Draw and name its lines of symmetry. [2012]

Answer:

(i) Plotted above.

(ii) Marked

(iii)

(iv) Lines of symmetry are

Question 5: Use graph paper to answer the following questions. (take 2 cm = 1 unit on both the axes)

(i) Plot the points and .

(ii) is the images of reflected in the . Plot it on the graph paper and write the co-ordinates of .

(iii) is the image of when reflected in the line . Write the co-ordinates of .

(iv) Write the geometrical name of the figure

(v) Name a line of symmetry of the figure formed. [2014]

Answer:

(i) Plotted above

(ii)

(iii)

(iv) The figure is a kite

(v) is a line of symmetry