Dilations Transformations of Triangles

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

• Reflection then rotation

• Rotation then dilation with scale factor of 2

• Rotation then dilation with scale factor of 0.5

• Rotation then translation

Are LMN and DEF similar?

• Yes

• No

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.

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

What will the new coordinates of D(4,6) be after a dilation centered at the origin with a scale factor of 1/2

• D'(2,6)

• D'(4,3)

• D'(-2,-3)

• D'(2,3)

What is the scale factor of this dilation?

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

• x = 20

• x = 12

• x = 5

• x = 4

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

True or false, when a figure is dilated, the corresponding angles are congruent?

• True

• False

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation