The image of a point is given by the rule ry = –x(x, y) → (–4, 9). what are the coordinates of its pre-image?

The coordinates of its pre-image = A (-9.4)

Transformation is a change in shape or change in location from a building to another build.

A build can be changed in shape or location using transformation

There are several forms of transformation, including translation, dilation, rotation or reflection.

Reflection from a point or shape is a reflection of a point or shape to a certain line called the mirror axis

A point A (x, y) is reflected on the line y = -x so that the shadow of point

A '(x', y ') is obtained. The relationship between these two points is determined by:

x '= -y

y '= -x

A (x, y) --- (y = -x )---> A '(- y, -x)

y = –x (x, y) --> (–4, 9).

A shadow of point A '(- 4.9) which is reflected by the line y = -x, the starting point of the relation formula above is:

x '= -y

-4 = -y

4 = y

and

y '= -x

9 = -x

-9 = x

So the starting point = A (-9.4)

Compare a dilation to the other transformations

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Point H (2, 5) is reflected across the y-axis

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a dilation of quadrilateral

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Keywords: transformation, translation, dilation, rotation reflection

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°