IM2 9.2 Similarity Transformations HW

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o, reflection over the x-axis

• Rotation 180^o, reflection over the y-axis

Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) is dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of C'?

• (2, -1)

• (8, -4)

• (8, 4)

• (2, 1)

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

• $\left(x-2,\ y+5\right)$

• $\left(x+2,\ y-9\right)$

• $\left(x-2,\ y+9\right)$

• $\left(x-9,\ y+2\right)$

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

What is the sequence of transformations for the image given?

• Reflect over the x-axis, translate $\left(x+8,\ y\right)$

• Reflect over the x-axis then translate $\left(x+6,\ y\right)$

• Reflect over the y-axis then $\left(x+1,\ y+1\right)$

• Translate $\left(x+5,\ y-4\right)$

Which transformations keep figures congruent?

• translation, reflection, and dilation

• reflection, rotation, and dilation

• dilation, translation, reflection, and rotation

• translation, reflection, and rotation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Name the series of transformations that maps ABC onto DEF.

• reflect over x-axis then translate left 6 up 1

• reflect over y-axis then translate down 6 left 1

• translate right 6 down 1, then reflect over x-axis

• rotate $90\degree$ then reflect over y-axis

What is the coordinate of B' after the transformation

 $\left(R_{x-axis}\circ\ D_{\frac{1}{2}}\right)$ ?

•  $\left(-2,\ -8\right)$  

•  $\left(-4,\ -16\right)$  

•  $\left(-1,\ -4\right)$  

•  $\left(-1,\ 4\right)$  

•  $\left(1,\ -4\right)$  

What is the coordinate of A' after the transformation

 $\left(r_{\left(180\degree,\ O\right)}\circ\ T_{<-3,\ -1>}\right)$ ?

•  $\left(1,\ -3\right)$  

•  $\left(-1,\ 3\right)$  

•  $\left(-5,\ -5\right)$  

•  $\left(-1,\ -3\right)$  

In the picture, point P is  $\left(3,\ 5\right)$ . Where is P' after  $\left(r_{\left(270\degree,\ O\right)}\circ D_3\right)$ ? 

•  $\left(9,\ -15\right)$  

•  $\left(-9,\ 15\right)$  

•  $\left(-9,\ -15\right)$  

•  $\left(15,\ -9\right)$  

•  $\left(1,\ -\frac{5}{3}\right)$