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
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