Symmetry, Transformations, Circles

Which equation is a line of symmetry for this square?

• $x=2$

• $y=3$

• $y=x$

• $y=-x$

 $\left(-2,3\right)$  Find the coordinates of the reflection of point P across the line  $y=x$   . P is at  $\left(3,-2\right)$  

•  $\left(-2,3\right)$  

•  $\left(2,-3\right)$  

•  $\left(3,2\right)$  

•  $\left(-3,-2\right)$  

What transformation created A' B' C' ?

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

• Dilation with a dilation factor of 3.

• Reflection over $y=0$

• Rotation of 90 degrees right.

If ABCD is reflected over $x=0$  and then reflected over  $y=0$  , Where will point B' end up?

•  $\left(5,-2\right)$  

•  $\left(-5,2\right)$  

•  $\left(-5,-2\right)$  

•  $\left(5,2\right)$  

If the translation $\left(x+1,\ y-4\right)$  is performed on the square. What coordinate will represent A'? Point A is at (2,2)

•  $\left(-2,3\right)$  

•  $\left(2,2\right)$  

•  $\left(-1,4\right)$  

•  $\left(3,-2\right)$  

Write an equation if a circle has a center of (-3,1) and a diameter of 6.

• $\left(x+3\right)^2+\left(y-1\right)^2=9$

• $\left(x+3\right)^2+\left(y-1\right)^2=36$

• $\left(x-3\right)^2+\left(y+1\right)^2=9$

• $\left(x-3\right)^2+\left(y+1\right)^2=36$

A circle has a diameter with endpoints $\left(0,-4\right)$  and    $\left(6,4\right)$  What is the equation of the circle?

•  $\left(x-3\right)^2+y^2=25$  

•  $\left(x-3\right)^2+y^2=100$  

•  $\left(x-3\right)^2+y^2=5$  

•  $\left(x-3\right)^2+y^2=0$  

Circle has a center at (3,0) and a radius of 5. What is a point on the circle?

• $\left(3,0\right)$

• $\left(6,4\right)$

• $\left(3,6\right)$

• $\left(0,-2\right)$

What is the slope of a line with the points (-3,2) and (2,0)?

• $\frac{2}{3}$

• $\frac{2}{5}$

• $-\frac{2}{3}$

• $-\frac{2}{5}$

Line OC is

• a midpoint.

• an angle bisector.

• a perpendicular bisector

• a translation