Transformations

Triangle KID has vertices at K(-5,2), I (-10,2) , D (-5,6).Triangle KID is dilated to form a new triangle with vertices at (-5/3, 2/3), (-10/3, 2/3), (-5/3, 2). Which represents the dilation that transforms KID to K'I'D'?

• (x,y)----- > (5/2x, 5/2y)

• (x,y)----- > (2/3x, 2/3y)

• (x,y)----- > (3x, 3y)

• (x,y)----- > (1/3x, 1/3y)

Quadrilateral HIJK is rotated 180 degrees to form quadrilateral H'I'J'K'. Which statement is true?

• HIJK is not congruent to H'I'J'K

• The sum of the angles of HIJK is 180 degrees more than H'I'J'K'

• The angle measure of H is equal to the angle measure of H'

• The angle measurements of HIJK are not equal to the corresponding angle measurements of H'I'J'K'

Which of the following transformations does NOT preserve congruence?

• (x,y)----- > (5/2 x, 5/2 y)

• (x,y)----- > (-x, y)

• (x,y)----- > (-y , x)

• (x,y)----- > (x + 3, y - 2)

James has two similar pieces of plywood. The dimensions of the first piece is 1.5 times the corresponding dimensions of the second piece. Which statement below is true?

• The second piece will have a perimeter that is 1.5 times bigger than the first piece.

• The perimeter of the first piece is 2.25 times bigger than the perimeter of the second piece.

• The area of the first piece is 3.0 times the area of the second piece.

• The area of the first piece will be 2.25 times the area of the second piece.

Which algebraic expression describes the transformation?

• (x, y) ----- > ( x - 2 , y + 2)

• (x, y) ----- > ( -2x, -2y)

• (x, y) ----- > ( 0.5x , 0.5y)

• (x, y) -------> ( x+ 2, y+2)

Which proportion must be true if the 2 trapezoids are similar?

• AB/BD = LM/OP

• AC/LO = CD/OP

• BD/AB = OP/MP

• MP/ LM = CD/AC

Which of the following algebraic representations do NOT show a dilation?

• (x, y) --------> (2/3x, 2/3y)

• (x, y) --------> (5x, 3/2y)

• (x, y) --------> (1.5x, 1.5y)

• (x, y) --------> (3x, 3y)

WHich of the following algebraic representations do NOT show an enlargement?

• (x, y) --------> (4/3x, 4/3y)

• (x, y) --------> (x +5, y + 2/3)

• (x, y) --------> (2x, 2y)

• (x, y) --------> (1.5x, 1.5y)

Triangle WHY was dilated to form W'H'Y' with the rule (x, y) --------> (1.2x, 1.2y). Which statement is true?

• W'H'Y' is smaller than WHY because the scale factor is less than one.

• W'H'Y' is larger than WHY because the scale factor is less than one.

• W'H'Y' is larger than WHY because the scale factor is greater than one.

• W'H'Y' is smaller than WHY because the scale factor is greater than one.

Which of the following algebraic representations will move a figure 3 units left and 4 units up?

• (x, y) --------> ( x + 4, y + 3)

• (x, y) --------> ( 3x, 4y)

• (x, y) --------> ( x + 3, y - 4)

• (x, y) --------> ( x - 3, y + 4)