Transformation
Number 3. Which sequence of transformation can be used to show that triangle J is congruent to triangle P?
a reflection across a vertical line followed by a 90° clockwise rotation
Number 11.
Halley cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
7
What is the definition of reflection?
A reflection is a transformation of a figure that flips the figure across a given line, called the line of reflection, so that each point on the preimage is the same distance from the line of reflection as the corresponding point on the image.
Number 8.
Roberto slides a rectangular picture frame 5 feet to the right of its original position on the wall. How many right angles does the picture frame have now?
4
Number 6.
Point (2, –4) is reflected across the x-axis. What are the coordinates of its image?
(2,4)
Number 9.
Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR. What is true about the angles and side lengths?
<Q= 110 degree
ST= 9ft
Number 2.
Parallelogram RSTU is rotated 180º clockwise about vertex R. How many pairs of parallel sides does the rotated figure have?
2
________________, adding apostrophes to each letter label, is used to label images.
Prime Notation
Before a transformation is complete, the original figure is called the _____________.
Pre-Image
Number 10.
A triangle with vertices (−2, 3), (5, 4), and (−1, −1) is translated using the rule (x, y) (x − 3, y + 4). What are the coordinates of the image?
(−5, 7), (2, 8), (−4, 3)
Number 4.
Trapezoid ABCD is rotated and then translated to produce trapezoid EFGH.
c. Trapezoid EFGH is congruent to trapezoid ABCD.
d. ∠G has the same measure as ∠C.
e. EF¯ is parallel to HG¯ .
Number 5.
Rotate the given rectangle 90º counterclockwise about the origin. Graph the image on the coordinate plane.
(3,2) (6,2) (3,7) (6,7)
A ______________ is a change in the position of a figure.
Transformation
A quadrilateral that has exactly one pair of parallel sides is a ______________.
Trapezoid
Number 12-Part A
The coordinates of a figure are transformed using the rule (x, y) (−x, −y).
A. a 180º clockwise rotation about the origin
Number 7.
Graph the image of the triangle after it is translated 4 units down and reflected across the y-axis.
(4,-1) (4,4) (7,-1)
What is the definition of Rotation?
when you turn a figure about a center of rotation.
Number 1.
Which triangle is a reflection of triangle X?
C
What is the definition of translation?
A translation is the movement of a figure along a straight line.
Number 12-Part B.
Use the given rule from part A to transform the triangle. Graph the image on the coordinate plane.
(0,7) (2,-2) (3,-8)