Sequence of Transformations/ Similarity & Congruence

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees counterclockwise about the origin.

Tags

CCSS.8.G.A.3

Describe a sequence of transformations that maps figure A onto figure B.

• A translation 4 units right followed by a reflection across the x-axis
• A reflection across the x-axis followed by a reflection across the y-axis
• A reflection across the y-axis followed by a translation 6 units down
• A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

Tags

CCSS.8.G.A.3

What are the final coordinates of B after a rotation of 180 degrees counterclockwise and a reflection over the y-axis

• (3, -4)

• (-3, 4)

• (-4, 3)

• (4, -3)

Tags

CCSS.8.G.A.3

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)
• (6,0), (9,-3), (-6,-15)
• (2/3,0), (1,-1/3), (-2/3,-5/3)
• (-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

Which transformations keep figures congruent?

• translation, reflection, and dilation

• reflection, rotation, and dilation

• dilation, translation, reflection, and rotation

• translation, reflection, and rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which scale factor shrinks a figure?

• k = 0

• k =2

• k= 1/3

• k = 1

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.HSG.CO.A.2