English

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 - Mathematics

Advertisements
Advertisements

Question

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).

Graph

Solution

The graph shows triangle ABC and triangle A’B’C’ which is obtained when ABC is reflected in the origin

shaalaa.com
Reflection of a Point in the Origin.
  Is there an error in this question or solution?
Chapter 12: Reflection - Exercise 12 (A) [Page 166]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 12 Reflection
Exercise 12 (A) | Q 16 | Page 166

RELATED QUESTIONS

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

(–2, –4)


State the co-ordinates of the following point under reflection in the line y = 0:

(–3, 0)


A point P is reflected in the origin. Co-ordinates of its image are (–2, 7). Find the co-ordinates of P.


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”.


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

(2, 7)


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

(0, 2)


Find the co-ordinates of the images of the following under reflection in the origin:
(3, -7)


Find the co-ordinates of the images of the following under reflection in the origin:
`((-5)/(2),(-1)/(2))`


Point A (2, -4) is reflected in origin as A’. Point B (- 3, 2) is reflected on X-axis as B’.
(i) Write the co-ordinates of A’.
(ii) Write the co-ordinates of B’.
(iii) Calculate the distance A’B’.
Give your answer correct to 1 decimal place, (do not consult tables).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×