Chapter 6 Geometry Big Ideas

What is the scale factor of the dilation from A to B ?

• 2

• 1

• 1/2

• 1/3

Which of the statements is true about the graphed triangles from the preimage to the image?

• They are similar, because the image can be obtained by dilating the preimage about the origin with a scale factor of 2.

• They are similar, because the image can be obtained by dilating the preimage about the origin with a scale factor of 1/2.

• They are not similar, because the image can not be obtained by dilating the preimage about the origin with a scale factor of 2.

• They are not similar, because the image can not be obtained by dilating the preimage about the origin with a scale factor of 1/2.

What is the sequence of transformations for the image given?

• Reflect over the x-axis, translate (x+8,y)

• Reflect over the x-axis then translate (x+6, y)

• Reflect over the y-axis then (x+1, y+1)

• Translate down 4 (y-4) and to the right 5 (x+5)

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

The rule for rotation of 270 degrees counterclockwise is

(x, y) --> _

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

What is the rule for the following reflection?

• Reflection across y = −2

• Reflection across x = −2

• Reflection across x = 2

• Reflection across y = 2

Which would be the correct notation for the composition of transformations from blue to red to green?

• <-4,0> then Reflection in _{y axis}

• Reflection in _{y axis} then <0, -4>

• <0, -4> then Reflection in _{y axis}

• Reflection in _{x axis} then Reflection in _{y axis}

Is the dilation from A to B an enlargement or a reduction?

• enlargement

• reduction