FINAL EXAM

Find the distance between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

• (-1, 13)
• (13, 1)
• (13, -1)
• (5, 13)

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  

• (-5.5, -7.5)
• (-1.5, -0.5)
• (-3, -1)
• (0.5, 1.5)

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

• (-1, 13)
• (13, 1)
• (13, -1)
• (5, 13)

Find the distance between (-12, 1) and (12, -1). Use a calculator to find the square

root and round to the nearest hundredth.

• 24.05
• 24.06
• 24.07
• 24.08

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)

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

• (x, y)  --> (  x ,  y + 5)
• (x, y)  --> (  x-5 ,  y + 5)
• (x, y)  --> (  x-2 ,  y + 5)
• (x, y)  --> (  x+5 ,  y)

∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?

• B'(2, -3)
• B'(-2, 3)
• B'(-2, -3)
• B'(2, 3)

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

• (3, 5)

• (-3, -5)

• (-5, 3)

• (5, 3)

Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.

• K' (-7, -8)

• K' (8, -7)

• K' (-8, 7)

• K' (8, 7)