# 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