Transformations Congruent and Similarity

Which rule will make the image narrower and move it down?

• (x,y)-->(3x,y+4)

• (x,y)-->(x+3,1/4y)

• (x,y)-->(1/4x,y-3)

• (x,y)-->(1/3x,y+4)

Triangle ABC is dilated about the origin to form A’B’C’.  If point A is located at ( 10, 12) and point A’ is located at  ( 2, 2.4)  then what scale factor was used to create this dilation?

• .2

• .5

• 5

• 2

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

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.

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is correct.

• ∠C ≅ ∠M

• ∠T ≅ ∠E

• ∠Y ≅ ∠B

• ∠A ≅ ∠M

• ∠C ≅ ∠R

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by 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.

Square A is a Dilation of Square B. What is the scale factor of the squares?

• 1/7

• 4/5

• 5/4

• 7

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)