A triangle $A B C$ where $A (- 2, 3), B (4, - 4) C (6, - 7)$ is reflected in the x- axis onto $△ A^{'} B^{'} C^{'}$ and then is reflected in the origin onto $△ A " B " C "$ . Write down the co-ordinates of (i) $A^{'}, B^{'}, C^{'}$ and (ii) $A ", B ", C "$ .

A ‘ (- 2, - 3), B ‘ (- 4, - 4), C ‘ (6, 7)

;

A^{''} (2, 3), B^{''} (4, 4), C^{''} (6, 7)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A ‘ (- 2, - 3), B ‘ (4, 4), C ‘ (6, 7)

;

A^{''} (2, 3), B^{''} (- 4, - 4), C^{''} (- 6, - 7)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A ‘ (- 2, - 3), B ‘ (4, 4), C ‘ (6, 7)

;

A^{''} (- 2, - 3), B^{''} (- 4, 4), C^{''} (- 6, 7)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A ‘ (2, 3), B ‘ (4, 4), C ‘ (6, 7)

;

A^{''} (- 2, - 3), B^{''} (- 4, - 4), C^{''} (- 6, - 7)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $A ‘ (- 2, - 3), B ‘ (4, 4), C ‘ (6, 7)$ ;
$A^{''} (2, 3), B^{''} (- 4, - 4), C^{''} (- 6, - 7)$
When a point is reflected in the x axis, the sign of its ordinate changes. Hence, the coordinates of $A^{'}, B^{'}, C^{'}$ are $A ‘ (- 2, - 3), B ‘ (4, 4), C ‘ (6, 7)$ respectively.
When a point is reflected in the origin, the sign of its ordinate and abscissa both change. Hence, the coordinates of $A ", B ", C "$ is the reflection of $A^{'}, B^{'}, C^{'}$ in origin.
Coordinates of $A ", B ", C "$ are $A^{''} (2, 3), B^{''} (- 4, - 4), C^{''} (- 6, - 7)$ respectively.

Suggest Corrections

Similar questions

A triangle $A B C$ where $A (- 2, 3), B (4, - 4) a n d C (6, - 7)$ is reflected in the x- axis onto $△ A^{'} B^{'} C^{'}$ and then is reflected in the origin onto $△ A " B " C "$ .Write down the co-ordinates of (i) $A^{'}, B^{'}, C^{'}$ and (ii) $A ", B ", C "$ .

Q. If the points A(2, 3), B(5, k) and C(6, 7) are collinear, then

(a) k = 4
(b) k = 6
(c)

k = \frac{- 3}{2}

(d)

k = \frac{11}{4}

Use graph paper for the question.

The points A(2, 3), B(4 , 5) & C(7, 2) are the vertices of ∆ ABC.

Write the coordinates of A’B’C’, if ∆ A’B’C’ is the image of ∆ABC, when reflected in the origin.

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".

Q. If

A B C D

forms a parallelogram, where

A = (0, - 1), B = (6, 7), C = (λ, 3)

and

D = (- 2, 3)

, then the value of

λ

Join BYJU'S Learning Program

A triangle ABC where A(−2,3),B(4,−4)C(6,−7) is reflected in the x- axis onto △A′B′C′ and then is reflected in the origin onto △A"B"C". Write down the co-ordinates of (i) A′,B′,C′ and (ii) A",B",C".

A triangle $A B C$ where $A (- 2, 3), B (4, - 4) C (6, - 7)$ is reflected in the x- axis onto $△ A^{'} B^{'} C^{'}$ and then is reflected in the origin onto $△ A " B " C "$ . Write down the co-ordinates of (i) $A^{'}, B^{'}, C^{'}$ and (ii) $A ", B ", C "$ .