Transformation Algebra

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

Reflect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?

• Quadrant I and II

• Quadrant II and III

• Quadrant III and IV

• Quadrant I and IV

If the triangle is transformed following the rule (x,y)⊣(x,-y), what transformation is modeled?

• Dilation

• Reflection

• Translation

• Rotation

If the triangle is transformed following the rule (x,y)⊣(x+5,y-3), what transformation is modeled?

• Dilation

• Reflection

• Translation

• Rotation

Point P is graphed at (4, 5) shown on the grid below.  Point P is 180ᴼ clockwise to Point P’.

• (-5, 4)

• (-4, 5)

• (5, -4)

• (-4, -5)

The original photo has side lengths of 5 inches and 6 inches. He is wanting to dilate the picture by a scale factor of 2. How many total inches of wood will he need to create a frame for the new enlarged photo?

• 22

• 44

• 88

• 121

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