Geometry Similar Transformations

One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?

• 2
• 4
• 8
• 16

Which of the statements is true about the graphed triangles?

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

Which of the following are Dilations?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Which scale factor shrinks a figure?

• k = 0

• k =2

• k= 1/3

• k = 1

(6, -4) -- Dilate by 1/2 and reflect across the origin.

• (-3, 2)

• (-3, -2)

• (12, -8)

• (-12, 8)

• (2, -3)

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Which does NOT describe a rigid motion?

Describe the similarity transformation that maps ABC to DEF (dilations have a center at the origin).

• dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down

• dilation with a scale factor of 1/2 followed by a translation 4 units left and 3 units up

• translation 4 units right and 3 units down followed by a dilation with a scale factor of 2

• translation 4 units left and 3 units up followed by a dilation with a scale factor of 1/2

Describe the similarity transformation that maps WXY to ABC (dilations have a center at the origin)

• dilation with a scale factor of 1/3 followed by a reflection in the y-axis

• dilation with a scale factor of 1/3 followed by a reflection in the x-axis

• dilation with a scale factor of 3 followed by a reflection in the y-axis

• dilation with a scale factor of 3 followed by a reflection in the x-axis

A sequence of transformations is applied to a polygon. Identify each sequence of transformations where the resulting polygon has a greater area than the original polygon.

• Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 , translate up 5 units

• Rotate 90° counterclockwise around the origin, dilate about the origin by a scale factor of 3/2

• Dilate about the origin by a scale factor of 2/3 , rotate 180° clockwise around the origin, translate down 2 units

• Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3