Coordinate Geometry

What is the equation of a circle with a center at  $\left(2,3\right)$  and a radius of  $4$  ?

•  $\left(x-2\right)^2+\left(y-3\right)^2=16$  

•  $\left(x+2\right)^2+\left(y+3\right)^2=16$  

•  $\left(x-3\right)^2+\left(y-2\right)^2=16$  

•  $\left(x+3\right)^2+\left(y+2\right)^2=16$  

Here is the equation of a circle: $x^2+y^2-2x+28y+181=0$  
Use our completing the square technique to find the center and radius of the circle. 

(SHOULD SELECT TWO ANSWERS!!)

•  $\left(1,-14\right)$  

•  $r=4$  

•  $r=16$  

•  $\left(-1,14\right)$  

Here is the equation of a circle: $\left(x-7\right)^2+\left(y+3\right)^2=64$  
What is the center and radius of the circle?

•  $Center:\ \left(7,-3\right)\ Radius:\ 8$  

•  $Center:\ \left(7,-3\right)\ Radius:\ 64$  

•  $Center:\ \left(-7,3\right)\ Radius:\ 8$  

•  $Center:\ \left(-7,3\right)\ Radius:\ 64$  

What is the algebraic rule?

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2

Triangle RST has vertices R(1, 1), S(1, 4), and   T(3, 1).  Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of  Tʹ?

• (-3, -1)
• (-3,-2)
• (5,2)
• (5,4)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Which algebraic rule will produce a translation that is 5 units to the right?

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

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

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

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

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

• 2
• 3
• 4
• 5

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

All angles in similar figures are congruent.  

• True
• False

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Translate the point A (-3, 4) right 5 and up 1

• (-2, 9)
• (-8, 5)
• (8, 3)
• (2, 5)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6