Transformations + Dilation

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation
• translation
• reflection
• dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

• rotation
• translation
• dilation
• reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Determine how to translate triangle ABC to triangle A'B'C'.

• $\left(x,y\right)\rightarrow\left(x+2,y-5\right)$

• $\left(x,y\right)\rightarrow\left(x+2,y-9\right)$

• $\left(x,y\right)\rightarrow\left(x-2,y+9\right)$

• $\left(x,y\right)\rightarrow\left(x-2,y-9\right)$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• $\left(x,y\right)\rightarrow\left(x+5,y-5\right)$

• $\left(x,y\right)\rightarrow\left(x+1,\ x-5\right)$

• $\left(x,y\right)\rightarrow\left(x+5,y-8\right)$

• $\left(x,y\right)\rightarrow\left(x+4,y-5\right)$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Which answer shows a reflection across the x= 0?

• a

• b

• c

• d

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Identify the transformation from ABCD to A'B'C'D'.

• Translation  $\left(x,y\right)\rightarrow\left(x-7,y-7\right)$

• Reflection across the y = 0

• Reflection across the x = 0

• 90^o counter clockwise rotation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

• (4,0)
• (0,4)
• (-1,5)
• (5,-1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Relfect the image over the y-axis and then translate it 4 to the right and down 3.  Which quadrants will the image be located in?

• Quadrant I and II
• Quadrant II and III
• Quadrant III and IV
• Quadrant I and IV

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Which does NOT describe a rigid motion?

• $\left(-x,-y\right)$

• $\left(kx,ky\right)$

• $\left(x+a,\ y+b\right)$

• $\left(-y,\ x\right)$

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

CCSS.8.G.A.4

Given the triangle  $A\left(2,3\right)\ B\left(5,3\right)\ C\left(5,0\right)$  under a dilation with a scale factor of  $\frac{4}{3}$  . What are the coordinated for the image?

•  $A\left(\frac{8}{3},4\right)\ B\left(\frac{20}{3},4\right)C\left(\frac{20}{3},0\right)$  

•  $A\left(2.6,4\right)B\left(4,6.7\right)\ C\left(4,0\right)$  

•  $A\left(\frac{2}{3},1\right)\ B\left(\frac{5}{3},1\right)\ C\left(\frac{5}{3},0\right)$  

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4