RTI 11.2 WE DO

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.

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

5.) What is the scale factor of the dilation from A to B?

• 1/4

• 1/2

• 1

• 2

Answer explanation

Which composition of similarity transformations maps LMN to L'M'N'?

• a dilation with a scale factor less than 1 and then a reflection

• a dilation with a scale factor less than 1 and then a translation

• a dilation with a scale factor greater than 1 and then a reflection

• a dilation with a scale factor greater than 1 and then a translation

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

• a dilation with a scale factor of 1/4 and then a rotation

• a dilation with a scale factor of 1/4 and then a translation

• a dilation with a scale factor of 4 and then a rotation

• a dilation with a scale factor of 4 and then a translation

Which pair of circles could be proven similar by dilating by a scale factor of 2 and translating right 10 and down 2?

• Circle L to Circle M

• Circle K to Circle L

• Circle K to Circle M

• Circle N to Circle L

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

What is the scale factor of the dilation?

REMEMBER  $SCALE\ FACTOR\ =\frac{IMAGE}{PRE-IMAGE}$  

•  $\frac{1}{8}$  

•  $\frac{1}{4}$  

• 4

• 8
  
  

Two circles A and B have different radii. A student dilates circle A at its center by a scale factor of 9/4 to make it the same size as circle B. What scale factor could have been used to make circle B the same size as circle A?

• 3/2

• 2/3

• 4/9

• 9/4

The following sequence of transformations maps Circle A to Circle B:

• Reflect across the line y = x, then rotate 90^o clockwise

• translate by (x, y) → (x + 6, y - 2) then dilate by scale factor 3/2.

• Translate by (x, y) → (x + 6, y - 2) then dilate by scale factor 2/3.

• Translate by (x, y) → (x - 6, y + 2) then dilate by scale factor 3/2.

Answer explanation

Circle B is the pre-image and Circle A is the image. Which transformations map Circle B onto Circle A?

• (x, y)→(x − 4, y + 8); dilation by scale factor of 3/4 at center of circle

• (x, y)→(x + 4, y − 8); dilation by scale factor of 4/3 at center of circle

• (x, y)→(x − 4, y + 8); dilation by scale factor of 4/3 at center of circle

• (x, y)→(x − 4, y + 8); dilation by scale factor of 1/2 at center of circle

Answer explanation

Which of the following are similarity transformations? Choose all that apply.

• Translation

• Dilation

• Rotation

• Stretch

• Reflection