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BECE Mathematics 2020 Paper

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Question : 13

Total: 40

Find the image of the point

(-2,3)

under a reflection in the

y

$(2,-3)$
$(-3,2)$
$(2,3)$
$(3,2)$

Solution:

Concept:

A reflection in the

y

-axis keeps the

y

-coordinate unchanged and changes the sign of the

x

-coordinate.

Explanation:

The rule for reflection in the

y

-axis is

(x, y) \rightarrow (-x, y)

.

The original point is

(-2, 3)

.

Apply the rule:

(-2, 3) \rightarrow \big(-(-2), 3\big)

.

Since

-(-2) = 2

, the image becomes

(2, 3)

.

Thus, only the sign of the

x

-coordinate is reversed.

Answer:

C.

(2, 3)

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