Transformations Triangles

Describe a sequence of transformations that take T to T'.

• Rotate 90 degrees clockwise around C and translate C to A'

• Rotate 90 degrees clockwise around C and reflect over segment CB'

• Rotate 180 degrees and translate C to A'

• Reflect over segment BC and rotate 180 degrees

What transformation will take the orange triangle to the yellow triangle?

• Rotate 180 degrees around the midpoint

• Reflect across the horizontal

• Translate along the horizontal

• Rotate 90 degrees clockwise around the midpoint

Determine how to translate triangle ABC to triangle A'B'C'. 

• right 2, down 5

• right 2, down 9

• left 2, up 9

• left 2, down 9

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

In which case does the transformation of △𝑄𝑅𝑆 result in an image △𝐷𝐸𝐹 where ∠𝑄≅∠𝐷,∠𝑅≅∠𝐸,∠𝑆≅∠𝐹, and 𝑄𝑅𝐷𝐸=𝑄𝑆𝐷𝐹=𝑅𝑆𝐸𝐹≠1 ?

• A. a translation of 6 units to the left and 8.5 units up followed by a reflection over the line 𝑦=2𝑥

• B. a reflection over the line 𝑦=−2𝑥 followed by a translation of 6.5 units to the right and 3.5 units down

• C. a rotation of 45° clockwise about vertex 𝐴 followed by a dilation by a scale factor of 0.95 about the origin.

• D. a dilation by a scale factor of 1 about the origin followed by a rotation of 45° clockwise about vertex 𝐴

ΔEFG (purple) is the mage of ΔABC (blue), how could ΔEFG been created?

• ΔABC was reflected over x-axis to create ΔEFG.

• ΔABC was reflected over y-axis to create ΔEFG.

• ΔABC was rotated 360°about the origin to create ΔEFG.

• ΔABC was rotated 180° about the origin to create ΔEFG.

• A

• B

• C

• D

Describe the transformation.

• translation: right 4 and up 6

• reflection across x=-2

• translation right 6 and down 1

• reflection across y=-2

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

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A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

• rotation

• translation

• dilation

• reflection