Question

REAL ANSWERS PLEASE
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?


a dilation with a scale factor less than 1 and then a reflection

a dilation with a scale factor less than 1 and then a translation

a dilation with a scale factor greater than 1 and then a reflection

a dilation with a scale factor greater than 1 and then a translation

Answer 1

Hey there!

The composition of similarity transformations maps polygon ABCD to polygon A'B'C'D' is a dilation with a scale factor of  and then a translation. Option (b) is correct.

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

Here, k represents the scale factor.

Given:

The options are as follows,

(a). A dilation with a scale factor of  and then a rotation

(b). A dilation with a scale factor of  and then a translation

(c). A dilation with a scale factor of 4 and then a rotation.

(d). A dilation with a scale factor of 4 and then a translation

Explanation:

The length of side  is  of side AB.

The length of side  is  of side AD.

The length of side  is  of side DB.

The length of side  is  of side CB.

The composition of similarity transformations maps polygon ABCD to polygon A'B'C'D' is a dilation with a scale factor of  and then a translation. Option (b) is correct.

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Answer 2

The correct answer is

a dilation with a scale factor less than 1 and then a reflection

• To this point, we've encountered four kinds of symmetry:
• Reflection, rotation, translation, and glide-reflection.
• These symmetries are rigid motions as a result of they move a figure whereas conserving its size and shape.
• All transformations are isometric. Dilation may be a non-isometric transformation. A stretch isn't a similarity transformation.
• Dilations, rotations, reflections, and translations are all similar transformations. Since rotation, reflection, and translation are rigid motions, they preserve each size and shape, whereas dilation solely ensures that the form is preserved.
• the multiplier is outlined as the magnitude relation of the dimensions of the new image to the size of the previous image.
• the middle of dilation may be a mounted purpose within the plane.
• supported the dimensions issue and therefore the centre of dilation, the dilation transformation is defined.

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