English

Use graph paper for this question. (Take 2 cm = 1 unit along both 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 - Mathematics

Advertisements
Advertisements

Question

Use graph paper for this question.

(Take 2 cm = 1 unit along both x-axis and y-axis.)

Plot the points O(0, 0), A(–4, 4), B(–3, 0) and C(0, –3).

  1. Reflect points A and B on the y-axis and name them A' and B' respectively. Write down their co-ordinates.
  2. Name the figure OABCB'A'.
  3. State the line of symmetry of this figure.
Graph

Solution

  1. A' = (4, 4) and B' = (3, 0)
  2. The figure is an arrow head.
  3. The y-axis i.e. x = 0 is the line of symmetry of figure OABCB'A'.

shaalaa.com
Invariant Points.
  Is there an error in this question or solution?
Chapter 12: Reflection - Exercise 12 (B) [Page 171]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 12 Reflection
Exercise 12 (B) | Q 16 | Page 171

RELATED QUESTIONS

The point (–2, 0) on reflection in a line is mapped to (2, 0) and the point (5, –6) on reflection in the same line is mapped to (–5, –6).

  1. State the name of the mirror line and write its equation.
  2. State the co-ordinates of the image of (–8, –5) in the mirror line.

The 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.


A point P (–2, 3) is reflected in line x = 2 to point P’. Find the co-ordinates of P’.


Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image:

  1. A’ of A under reflection in the x-axis.
  2. B’ of B under reflection in the line AA’.
  3. A” of A under reflection in the y-axis.
  4. B” of B under reflection in the line AA”.

  1. Plot the points A (3, 5) and B (–2, –4). Use 1 cm = 1 unit on both the axes.
  2. A’ is the image of A when reflected in the x-axis. Write down the co-ordinates of A’ and plot it on the graph paper.
  3. B’ is the image of B when reflected in the y-axis, followed by reflection in the origin. Write down the co-ordinates of B’ and plot it on the graph paper.
  4. Write down the geometrical name of the figure AA’BB’.
  5. Name the invariant points under reflection in the x-axis.

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’. Write:

  1. the co-ordinates of P’ and O’.
  2. the length of the segments PP’ and OO’.
  3. the perimeter of the quadrilateral POP’O’.
  4. the geometrical name of the figure POP’O’.

P and Q have co-ordinates (0, 5) and (–2, 4).

  1. P is invariant when reflected in an axis. Name the axis.
  2. Find the image of Q on reflection in the axis found in (a).
  3. (0, k) on reflection in the origin is invariant. Write the value of k.
  4. Write the co-ordinates of the image of Q, obtained by reflecting it in the origin followed by reflection in x-axis.

  1. The point P (2, –4) is reflected about the line x = 0 to get the image Q. Find the co-ordinates of Q.
  2. The point Q is reflected about the line y = 0 to get the image R. Find the co-ordinates of R.
  3. Name the figure PQR.
  4. Find the area of figure PQR.

Using 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.


Use a graph paper for this question.

(Take 2 cm = 1 unit on both x and y axes)

  1. Plot the following points: A(0, 4), B(2, 3), C(1, 1) and D(2, 0).
  2. Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B', C', D' respectively.
  3. 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.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×