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