Transformations 1st period

What is Dilation?

• Dilation means to enlarge or reduce
• Dilation means to reflect on something
• Dilation means to like something
• Dilation means to make something different by making it smaller

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)

• A(3,3), B(4,4), C(-3,-4)
• A(-4,8), B(6.5,8), C(7,7)
• A(0,0), B(32,0), C(12,-8)

A  figure has a vertices W(-2,4), and X(1,4. Find the  coordinates of the figure after a dilation with a scale factor of 2.

• W(-4,83),  X(2,8)
• W(-4,8), X(2,8)

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

• (4,0)
• (0,4)
• (-1,5)
• (5,-1)

Triangle XYZ has vertices x(2,3), Y(5,6), and Z(8,6).  What rule can be used to find the new coordinates of point X, if the triangle is translated 6 units down and 4 units to the right?

• (x,y)⊣(x-4, y+6)
• (x,y)⊣(x-6, y+4)
• (x,y)⊣(x+6, y-4)
• (x,y)⊣(x+4, y-6)

Point P is graphed at (4,5) shown on the grid below.  Point P is 90⁰ counterclockwise to Point P'.  What are the coordinates of P'?

• (-5, 4)
• (-4, 5)
• (5, -4)
• (-4, -5)

When quadrilateral PRST is translated to create quadrilateral P'R'S'T', which statement is true?

• The side lengths of quadrilateral P'R'S'T' are twice the side lengths of quadrilateral PRST
• The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST
• The side lengths of quadrilateral P'R'S'T' are 9 units longer than side lengths of quadrilateral PRST
• The angle measures of quadrilateral P'R'S'T' are greater than the angle measures of quadrilateral PRST

Triangle CAT, with vertices C(-2, 4), A(0, -5), and T(-3, -8) was dilated to form triangle C'A'T' with vertices C'(-1.6, 3.2), A'(0, -4), and T'(-2.4, -6.4). Which scale factor was used?

• 0.4
• 4/5
• 5/4
• 0.3

Which transformation does not preserve congruence?

• translation
• reflection
• rotation
• dilation

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o Clockwise Rotation
• 360^o Rotation