Transformations

Triangles LMN and OPQ have the following characteristics:
ML=12, LN=10, and m<M=55⁰
PO=8, PQ=4, and m<P=55⁰.
What additional information is sufficient to show that Triangle LMN can be transformed and mapped onto Triangle OPQ?

• <LMN≅<QOP
• OP=6
• <NLM≅<QOP
• MN=9

Point P(-3,-1) is transformed using the rule (x-3,y+1).  The image P' is then rotated clockwise 90⁰ about the origin, resulting in point P''.  What are the coordinates of P''?

• (6,0)
• (0,6)
• (-6,0)
• (0,-6)

Triangle WXY has vertices W(2,5), X(16,8), and Y(2,2).  If Triangle WXY is dilated by a factor of ¼, what are the coordinates of X'?

• (1,3)
• (6,4)
• (48.32)
• (4,2)

Triangle P'Q'R' is produced by applying a transformation to PQR.  P(1,1), Q(3,5), R(6.2).  P'(-2,-6), Q'(0,-2), R'(3,-5).  Which transformation was used?

• (x-3,y-7)
• (x+3,y+7)
• (x-7,y-3)
• (x+7,y+3)

A quadrilateral is rotated 180⁰ about the origin.  Which rule will describe the transformation?

• (x,y)
• (-x,y)
• (x,-y)
• (-x,-y)

M(5,-5) is rotated 180⁰ about the origin, what till be the coordinates of the image of M?

• (5,5)
• (5,-5)
• (-5,5)
• (-5,-5)

Triangle PQR has vertices P(-1,3), Q(1,2), and R(-2,-1).  When Triangle PQR is reflected over line y=-2, what are the coordinates of P'?

• (-1,-3)
• (-1,-7)
• (-2,-2)
• (-3,-3)

FG has points F(2.4) and G(6,1).  If FG is dilated with respect to the origin by a factor of k, to produce F'G', which statement must be true?

• The line that passes through F' and G' intersects the y-axis at (0, 5.5+k).
• The line that passes through F' and G' intersects the y-axis at (0, 5.5).
• The line that passes through F' and G' has a slope of -2k.
• The line that passes through F' and G' has a slope of -2.

Which transformation will always product a congruent figure?

• (-x, y-3)
• (2x,y)
• (x+2,-2x)
• (3x,3y)

Point P' is the image of point P after a counterclockwise rotation of 90⁰ about the origin.  If the coordinates of point P' are (-7,3), what are the coordinates of point P?

• (3,7)
• (-3,-7)
• (3,-7)
• (-3,7)