تدريبات حسب الهيكل الوزاري متقدم في الرياضيات باللغة الإنجليزية للصف الثامن ريفيل (2)

GRADE 8 ADV EOT 3

MATH COVERAGE، Module 8,9,10&11، Module 8: Transformations، M8L1: Translations

A translation is a transformation that slides a figure from one position to another without turning it.

Preimage، Original shape

You can use the following coordinate notation to describe the translation: (x, y) → (x +a, y +b)

Add a to the x-coordinate and add b to the y-coordinate.

x + a means move a units left or right.

Image

Resulting shape after applying the transformation

y + b means move b units up or down.

M8L2: Reflections

You can reflect a figure across the x-axis or across the y-axis.

A reflection is a mirror image of the original figure. It is the result of a transformation of a figure across

a line called a line of reflection.

Keep x-coordinate the same and use the opposite

of the y-coordinate .

Keep y-coordinate the same and use the opposite

of the x-coordinate .

M8L3: Rotations

A rotation is a transformation in which a figure is rotated, or turned,

about a fixed point. Rotation can be clockwise or counterclockwise

There are specific rules for clockwise rotation in the coordinate plane.

(x,y)→(y,−x)

Swap x and y, then put a negative sign on x.

(x,y)→(−x,−y)

Change the sign of both

coordinates، (x,y)→(−y,x)

Swap x and y, then put a negative sign on y.

M8L4: Dilations

A dilation is a transformation that enlarges or reduces a figure by a

scale factor (K) relative to a center point.

You can use the following coordinate notation to describe

the dilation:

( x, y ) → ( kx ,ky)

Multiply both x and y by the scale factor.

If the scale factor (K) is > 1, the figure gets bigger

If the scale factor (K) is < 1, the figure gets smaller