Transformations and Similar Figures

Which proportion could be used to find side 'x'?

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Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

What operation is used to write the rule for a dilation?

• Addition

• Subtraction

• Multiplication

• Division

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

How can this transformation be represented algebraically?

• (x + 4, y)

• (-x, -y)

• (-x, y)

• (y, -x)

A rectangle has an area of 48 cm². It is dilated by a scale factor of 2. What would be the area of the new rectangle (the image)?

• 96 cm²
• 192 cm²
• 216 cm²
• 2304 cm²

Dilations are ________ but not congruent.

• Similar
• Flipped
• Rotated
• Congruent

• (x,y) ----> (3x,3y)

• (x,y) ----> $\left(\frac{1}{3}x\ ,\ \frac{1}{3}y\right)$

• (x,y) ----> (x+3,y+3)

• (x,y) ----> (x,y)

How does reflecting a figure over the y-axis change the ordered pair?

• Changes the x-coordinate
• Changes the y-coordinate

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Which proportion can be used to find 'x'?

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• 
• 
• 

A figure with the coordinates A(3,3) B(6,6) C(9,3) is dilated by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)