Same shape and same size

Same shape but not necessarily the same size.

Same size but not necessarily the same shape.

None of the above

$$P''\left(-10,1\right),\ Q''\left(-6,\ 8\right),\ R''\left(-2,\ 4\right)$$  

$$P''\left(5,-1\right),\ Q''\left(3,-4\right),\ R''\left(1,-2\right)$$  

$$P''\left(1,-5\right),\ Q''\left(4,-3\right),\ R''\left(2,-1\right)$$  

$$P''\left(2,-10\right),\ Q''\left(8,-6\right),\ R''\left(4,-2\right)$$  

A $$180\degree$$ rotation followed by a dilation with scale factor 3

A reflection in the x-axis followed by a dilation with scale factor 3.

A $$\frac{1}{3}$$ rotation followed by a dilation with scale factor

A reflection in the x-axis followed by a dilation with scale factor $$\frac{1}{3}$$

Reflection over the x-axis, followed by a dilation with a scale factor of 2 

 Reflection over the y-axis, followed by a dilation with a scale factor of 2 

Reflection over the y-axis, followed by a dilation with a scale factor of  $$\frac{1}{2}$$

Reflection over the x-axis, followed by a dilation with a scale factor of  $$\frac{1}{2}$$   

Quad OBCD can be reflected over the x axis and then rotated 90 degrees

Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 2.

Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 1/2.

ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about the origin

ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

They aren't similar

They map to each other with similarity transformations.

Dilate triangle ABC using center A by a scale factor of 1/2, then reflect over line AC

Dilate triangle AED using center A by scale factor if 2, then reflect over line AC

Reflect triangle ABC over line AC, then dilate using center A by a scale factor of 1/2

Reflect triangle AED over line AC, then dilate using center A by a scale factor of 2

Translate triangle AED by directed line segment DC, then dilate using center C by scale factor 2

$$\frac{1}{5}$$  

$$\frac{2}{5}$$  

$$\frac{5}{2}$$  

$$\frac{5}{1}$$  

ABCD and EFGH are congruent, but not similar.

ABCD and EFGH are similar, but not congruent.

ABCD and EFGH are both congruent and similar.

ABCD and EFGH are neither congruent, nor similar.

4

2

8

7

Yes, they are both trapezoids

No, they have different sizes

No, the ratios of the corresponding sides are not equal.

Yes, they have the same base and 4 angles

2/3

1/2

3/2

2