Understanding similarity

If figure E is rotated 90^o CW and dilated by a sale factor of 1, it is SIMILAR OR CONGRUENT to figure E''?

• Congruent

• Similar

Given triangle ABC is similar to PQR, What is the scale factor?

• 2

• 4

• 1/2

• 1

6-7, Question 1: Is △ABC similar to △A′B′C′? Explain.

• Yes, they are similar

• No, they are congruent

• No, they are neither similar nor congruent

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

Are the two triangles similar? If so, what is the scale factor?

• Yes, 2
• No
• Yes, 1/2
• Yes, 3

Will the following transformations result in a congruent or similar figure?
1. Rotation 90 degrees, clockwise, center at point C
2. Dilation with scale factor of 1/2, center at (-1, -2)

• Congruent
• Similar

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

Similar figures are figures that are the SAME shape, but a DIFFERENT size.

Which one of the following transformations will produce a similar figure?

• translation

• dilation

• rotation

• reflection

Triangle MRT is similar, but not congruent, to triangle ABC. Triangle ABC underwent two transformations to get Triangle LMN. Select two of the following pairs of transformations that could have occurred.

• Dilation of 1/2 and a translation of 8 units down

• 90-degree counterclockwise rotation and a dilation of 3.

• Translations of 5 units down and left and a reflection over the x-axis

• Reflection over y=3x+5 and a 180 degree clockwise rotation.

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.