The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:

(xx from) · (yy to)/(zz from) = xx·yy/zz · (from/from) · to = xx·yy/zz · to

Here, you want to convert to centimeters, so centimeters will be the units in the numerator.

10 in · (2.54 cm)/(1 in) = 25.4 cm

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The conversion factor is always "1". That is, the numerator and denominator are always equal in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.

5 0

3 years ago

Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.

Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

Dilation:

Transformation in which the image has the same shape as the pre-image, but the size changes.

Dilation preserves betweenness of points.

Angle measures do not change.

Translation:

Transformation in which the image is the same size and shape as the pre-image.

Translation preserves betweenness of points.

Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:

Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

6 0

3 years ago

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