Transformational Geometry

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'(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

Select all answers that would create a dilation.

• (x,y) -----> (2x,4y)

• (x,y) -----> (x+3,y-2)

• (x,y) -----> (½x,½y)

• (x,y) -----> (3x,3y)

• (x,y) -----> (1.2x,1.2y)

Tags

CCSS.8.G.A.3

Is the picture being reflected in the y-axis or x-axis?

• y-axis

• x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of these options would NOT preserve congruence?

• (x,y) -----> (x-2,y+1)

• (x,y) -----> (-x,-y)

• (x,y) -----> (2x,2y)

• (x,y) -----> (x-7,y+3)

Tags

CCSS.HSG.CO.A.2

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.7.G.A.1

Which of the following algebraic expressions would create an enlargement?

• (x,y) -----> (x+3,y+3)

• (x,y) -----> (3x,0.5y)

• (x,y) -----> (0.75x,0.75y)

• (x,y) -----> (2.3x,2.3y)

Tags

CCSS.8.G.A.3

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)

• S'(-3, 7)

• S'(-3, -7)

• S'(3, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

Tags

CCSS.HSG.CO.A.2

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Solve for x.

• x = 21

• x = 15

• x = 75

• x = 105

Tags

CCSS.8.G.A.5