Transformations of Triangles

Select all of the translations that take Triangle T to Triangle U. There may be more than one correct answer.

• Translate (−3,0) to (1,2).

• Translate (2,1) to (−2,−1).

• Translate (−4,−3) to (0,−1).

• Translate (1,2) to (2,1).

Which transformation is shown?

• Translation

• Reflection over the x-axis

• Reflection over the y-axis

• 180^o rotation

Which of the following describes the sequence of transformations shown?

• Reflection, then a rotation.

• Rotation, then a translation.

• Reflection across the x-axis, then a reflection across the y-axis.

• Translation, then a rotation.

Which sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

• Reflection, then a translation

• Rotation, then a dilation

• Reflection, then a rotation

• Dilation, then a reflection

• 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

Which transformation of HIJ does NOT result in a congruent triangle?

• a reflection across the x axis, followed by a rotation of 180° about the origin

• a rotation by 180° about the origin, followed by a translation of 2 units left & 3 down

• a translation of 1 unit right and 2 units up, followed by a dilation by a factor of 3

• a dilation by a factor of 2, followed by a dilation by a factor of ½

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

• A reflection, then a rotation

• A reflection, then a translation

• A translation, then a rotation

• A translation, then a reflection

Dilate the triangle by a scale factor of 1/2. What are the coordinates of B'?

• (3/2, -4)

• (-3/2,1)

• (-1,-3/2)

• (-2,-2)

The red triangle has been dilated by a scale factor of 1/4, which triangle represents the image? 

• green triangle 

• red triangle 

• black triangle

• none of these