CCGPS AG 1.1.1 Example 1

Is the following transformation a dilation? Justify your answer using the properties of dilations.

[list=1] [*]Verify that shape, orientation, and angles have been preserved from the preimage to the image. [*]Verify that the corresponding sides are parallel. [*]Verify that the distances of the corresponding sides have changed by a common scale factor, [math]k[/math]. [*]Verify that corresponding vertices are collinear with the center of dilation, [math]C[/math]. [*]Draw conclusions. [/list]

CCGPS AG 2.1.1 Example 1

Find the sine, cosine, and tangent ratios for [math]\angle{A}[/math] and [math]\angle{B}[/math] in the triangle [math]\bigtriangleup{ABC}[/math]. Convert the ratios to decimal equivalents.

[list=1] [*]Find the length of the hypotenuse using the Pythagorean Theorem. [*]Find the sine, cosine, and tangent of [math]\angle{A}[/math]. [*]Find the sine, cosine, and tangent of [math]\angle{B}[/math]. [/list]

CCGPS AG 3.1.1 Example 3

A car has a circular turning radius of 15.5 feet. The distance between the two front tires is 5.4 feet. To the nearest foot, how much farther does a tire on the outer edge of the turning radius travel than a tire on the inner edge?

[list=1] [*]Calculate the circumference of the outer tire’s turn. [*]Calculate the circumference of the inside tire’s turn. [*]Calculate the difference in the circumference of each tire’s turn. [/list]

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