Transformations, Similarity, and Congruence

Are these triangles similar?

• Yes

• No

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

The image shows what type of transformation

• Rotation

• Translation

• Reflection

Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

Which set of transformations could be applied to figure A to map it onto A'?

• reflect over y-axis, then translate down 2 units

• reflect over y-axis, then translate down 6 units

• rotate 180º about the origin, then reflect over x-axis

• rotate 90º CW about the origin, then relfect over x-axisfl

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

The triangles are similar. Which series of transformations maps ABC onto DEF?

• reflection followed by a dilation

• rotation followed by a dilation

• translation followed by a dilation

• translation followed by a rotation

The triangles are similar. Which series of transformations maps ABC onto DEF?

• translation followed by a rotation

• translation followed by a dilation

• rotation followed by a dilation

• reflection followed by a dilation

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• the figures are not similar.