# Lesson Worksheet: Dilation: Positive Scale Factors Mathematics • 8th Grade

In this worksheet, we will practice dilating shapes about a center of dilation by positive scale factors and fractional and whole numbers and practice describing dilations.

**Q1: **

Dilate triangle from the origin by a scale factor of 2, and state the coordinates of the image.

- A
- B
- C
- D
- E

**Q2: **

Triangle has been dilated from point to triangle and, hence, the two triangles must be similar. What do you notice about the measures of the angles in both shapes?

- AThe measures tripled.
- BThe measures doubled.
- CThe measures were divided by three.
- DThe measures were halved.
- EThey are equal.

**Q3: **

The figure shows two triangles: and .

Describe the single transformation that would map onto .

- Aa dilation from point by a scale factor of 2
- Ba translation of one up and one right
- Ca translation of one up and two right
- Da dilation from point by a scale factor of 2
- Ea dilation from point by a scale factor of 2

Hence, determine whether triangles and are similar.

- AThey are similar.
- BThey are not similar.

**Q4: **

Does a dilation that would map triangle to triangle exist? If yes, state the scale factor.

- AYes, a dilation by a scale factor of 2
- BYes, a dilation by a scale factor of 6
- CNo dilation exists.
- DYes, a dilation by a scale factor of 3
- EYes, a dilation by a scale factor of 4

**Q5: **

Dilate triangle from the origin by a scale factor 2, and state the coordinates of the image.

- A
- B
- C
- D
- E

**Q6: **

Dilate the square from the origin by a scale factor of , and state the coordinates of the image.

- A
- B
- C
- D
- E

**Q7: **

The quadrilateral in the given figure has been dilated from the center point to the quadrilateral . What is the scale factor of the dilation?

- A2
- B
- C1
- D
- E

**Q8: **

Find the images of the vertices of the quadrilateral after a dilation with center by a scale factor of .

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q9: **

Triangle is transformed into triangle using a dilation centered on the origin. What is the scale factor?

- A
- B
- C
- D
- E3

**Q10: **

Dilate the rectangle from the origin by a scale factor of , and state the coordinates of the image.

- A
- B
- C
- D
- E