हिंदी

State the Co-ordinates of the Images of the Following Point Under Reflection in the Origin: - Mathematics

Advertisements
Advertisements

प्रश्न

State the co-ordinates of the images of the following point under reflection in the origin:

(2, 7)

एक पंक्ति में उत्तर

उत्तर

The co-ordinate of the given point under reflection in the origin is:  (-2,-7)

shaalaa.com
Reflection of a Point in the Origin.
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Reflection - Exercise 8.1

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 8 Reflection
Exercise 8.1 | Q 3.2

संबंधित प्रश्न

State the co-ordinates of the following point under reflection in origin:

(–2, –4)


The point A(4, 6) is first reflected in the origin to point A’. Point A’ is then reflected in the y-axis to the point A”.

  1. Write down the co-ordinates of A”.
  2. Write down a single transformation that maps A onto A”.

The triangle ABC, where A is (2, 6), B is (-3, 5) and C is (4, 7), is reflected in the y-axis to triangle A’B’C’. Triangle A’B’C’ is then reflected in the origin to triangle A”B”C”.

(i) Write down the co-ordinates of A”, B” and C”.

(ii) Write down a single transformation that maps triangle ABC onto triangle A”B”C”.


On a graph paper, plot the triangle ABC, whose vertices are at the 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).


Point A (4, –1) is reflected as A’ in the y-axis. Point B on reflection in the x-axis is mapped as B’ (–2, 5). Write down the co-ordinates of A’ and B.


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

  1. Name the line of reflection.
  2. Write down the co-ordinates of the image of (5, –8) in the line obtained in (a).

State the co-ordinates of the images of the following point under reflection in the origin:

(-1,-4)


State the co-ordinates of the images of the following point under reflection in the origin:

(9,-9)


Use graph paper for this question.
The points A (2, 3), B (4, 5) and C (7, 2) are the vertices of A ABC.

  1. Write down the coordinates of A’, B’, C’ if Δ A’B’C’ is the image of Δ ABC, when reflected in the origin.
  2. Write down the co-ordinates of A”, B”, C” if A” B” C” is the image of Δ ABC, when reflected in the x-axis.
  3. Mention the special name of the quadrilateral BCC” B” and find its area.

Use a graph paper for this question (take 10 small divisions = 1 unit on both axis).
Plot the points P (3, 2) and Q (-3, -2), from P and Q draw perpendicular PM and QN on the X- axis.
(i) Name the image of P on reflection at the origin.
(ii) Assign, the. special name to the geometrical figure. PMQN and find its area.
(iii) Write the co-ordinates of the point to which M is mapped on reflection in (i) X- axis,
(ii) Y-axis, (iii) origin.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×