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# Worksheet: Dilations

Q1:

What is the name of the transformation that changes the size of a given figure by a particular scale factor?

• Arotation
• Btranslation
• Creflection
• Ddilation
• Ehorizontal stretching

Q2:

A quadrilateral has been dilated by a scale factor of 2 to . Are and congruent?

• A no
• B yes

Q3:

The radii of two circles are 12 cm and 4 cm. Find the scale factor of the first circle to the second.

• A
• B
• C
• D
• E

Q4:

Consider two circles with different radii. One of the circles can be translated so that they are concentric. Which of the following transformations could be used to transform the radius of one circle to the other?

• A reflection
• B rotation
• C translation
• D dilation

Q5:

In the given figure, what is the scale factor between circle and circle ?

• A3
• B1
• C
• D2
• E

Q6:

In the given figure, what is the scale factor between circle and circle ?

• A
• B
• C
• D
• E

Q7:

In the given figure, what combination of transformations would map circle onto circle ?

• A a translation of six left and two up followed by a dilation of scale factor one
• B a translation of two right and six down followed by a dilation of scale factor two
• C a translation of two left and six up followed by a dilation of scale factor two
• D a translation of six right and two down followed by a dilation of scale factor two
• E a translation of four left and two down followed by a dilation of scale factor one

Q8:

In the given figure, what combination of transformations would map circle onto circle ?

• Aa translation of six right and four up, followed by a dilation of scale factor
• Ba translation of four left and six down, followed by a dilation of scale factor
• Ca translation of four left and six down, followed by a dilation of scale factor
• Da translation of six left and four down, followed by a dilation of scale factor
• Ea translation of four left and six up, followed by a dilation of scale factor

Q9:

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

• A yes, a dilation by a scale factor of 3
• B yes, a dilation by a scale factor of 4
• C yes, a dilation by a scale factor of 6
• D yes, a dilation by a scale factor of 2
• ENo dilation exists.

Q10:

Find the scale factor used to dilate square to square .

• A
• B
• C
• D
• E2

Q11:

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

• A
• B
• C
• D
• E3

Q12:

Triangle has been dilated from point to triangle and, hence, the two triangles must be similar.

What is the scale factor of the dilation?

Q13:

Triangle , in the given figure, has been dilated from the point and then reflected to form triangle .

State the scale factor of the enlargement.

• Ascale factor = 3
• Bscale factor = 1
• Cscale factor = 4
• Dscale factor = 2
• Escale factor = 5

State the line of reflection.

• A
• B
• C
• D
• E

Are the triangles similar?

• Ano
• Byes

Q14:

The figure shows two triangles: and .

Describe the single transformation that would map onto .

• A a dilation from point by a scale factor of 2
• B a dilation from point by a scale factor of 2
• Ca translation of one up and one right
• Da dilation from point by a scale factor of 2
• Ea translation of one up and two right

Hence, determine whether triangles and are similar.

• AThey are similar.
• BThey are not similar.

Q15:

The perimeter of a piece of land in the shape of an equilateral triangle is 720 m. When a scale drawing is made, the length of side of the triangle is 2 cm. What is the drawing scale?

• A
• B
• C
• D