Dilations

If the scale factor is less than 1, the dilation is...

• an enlargement
• a translation
• a rotation
• a reduction

Tags

TEKS.MATH.G.3A

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)
• (12, 6)
• (3, -1.5)
• (0, 1.5)

Tags

CCSS.8.G.A.3

Triangle ABC is dilated so that the coordinates of C' are (2, -1).  What was the scale factor of the dilation?

• 3
• 2
• 1/2
• 1/3

Tags

CCSS.8.G.A.3

Which algebraic expression could be the rule for a reduction?

• (x, y)→(2x, 2y)
• (x, y)→(5/2 x, 5/2 y)
• (x, y) →(0.5x, 0.5y)
• (x, y)→(5x, 5y)

Tags

CCSS.HSG.CO.A.2

Polygon ABCDE will be dilated by a scale factor of 2.  Which statement is NOT true of the dilation?

• The corresponding angles of the two polygons will be equal.
• The dilation will be an enlargement.
• The original and the image will be congruent.
• Polygon A'B'C'D'E' will be proportional to polygon ABCDE. 

Tags

CCSS.8.G.A.3

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y).  What will be the coordinates of C'?

• (12, -3)
• (12, -6)
• (3, -1.5)
• (8, -5)

Tags

CCSS.8.G.A.3

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 3.
• It's a reduction; the scale factor is 1/3.
• It's a reduction; the scale factor is 1/2.
• It's an enlargement; the scale factor is 2. 

Tags

CCSS.8.G.A.3

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Tags

CCSS.8.G.A.3

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

• 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)

Tags

CCSS.8.G.A.3