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BECE Mathematics 2014 Paper

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Question : 37

Total: 40

The point

P(5,4)

is reflected in the

y

-axis. Find its image.

$(-5,4)$
$(5,-4)$
$(-4,5)$
$\;\, (4,-5)$

Solution:

Concept:

Reflection in the

y

-axis changes only the sign of the

x

-coordinate.

Explanation:

When a point

(x,y)

is reflected in the

y

-axis, its image is

(-x,y)

.

Given point is

P(5,4)

, so

x=5

and

y=4

.

Negate the

x

-coordinate:

x

becomes

-5

.

The

y

-coordinate remains unchanged:

y=4

.

Therefore, the image of

P(5,4)

is

P'(-5,4)

.

Answer:

A.

(-5,4)

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