Question

Which of the following points are identical to atleast one of their reflections across the X and the Y axes?

A(3,2) ; B(4,0) ; C(0,5) ; D(0,0)

• A. All A, B, C and D.
• B. Only B, C and D
• C. Only B and C.
• D. Only D.

Answer 1

The correct option is B Only B, C and D

Fiding the reflections across both X and Y axes for each point, we get:

Point A(3,2) :


Hence, the reflection of A(3,2) across the Y-axis is R(-3,2) and its reflection across the X-axis is S(3,-2).

Point B(4,0) :


Hence, the reflection of B(4,0) across the Y-axis is R(-4,0) and its reflection across the X-axis is S(4,0), which is identical to B.

Point C(0,5) :


Hence, the reflection of C(0,5) across the Y-axis is R(0,5), which is identical to C. And the reflection of C(0,5) across the X-axis is S(0,-5).

Point D(0,0) :


Hence, the point D(0,0) is identical to both its reflections R(0,0) and S(0,0).

Therefore, among the given points, only B,C and D are identical to atleast one of their reflections across the X and Y axes.