Defintions
Transformation 1
Transformation 2
100
A(n) ____________ is a transformation that slides a figure along a line.
Translation
100
Figure ABCD and its image, Figure FGHJ, are shown. Which transformation of Figure ABCD produced Figure FGHJ?
Reflection across vertical line
100
The point (a,b) is reflected across the x-axis and then translated 4 units to the right. What are the new coordinates of the point?
(a+4, -b)
200
A(n) _____________ a is transformation that flips a figure across a line.
Reflection
200
Which sequence of transformations you could use to show that Triangle DEF is congruent to Triangle JKL?
Reflect Triangle DEF across the x-axis and then rotate it 90° counterclockwise about the origin.
200
Name and define the transformations you studied in this module.
A __________ is a slide.
A __________ is a flip.
A __________ is a turn.
A translation is a slide.
A reflection is a flip.
A rotation is a turn.
300
A(n) ___________ is a transformation that turns a figure about a point.
Rotation
300
Triangle PQR has vertices P(2,−4), Q(4,−5), and R(7,−2). Triangle PQR is translated 6 units left and 3 units up to produce Triangle P′Q′R′. Complete the table with the coordinates of the vertices of Triangle P′Q′R′.
P (-4,-1) Q(-2,-2) R(1,1)
300
On the graphing side of the board, graph a triangle with vertices A(2,1) B(3,4) and C(-2,4). Rotate Triangle ABC 180 degrees about the origin.
What are the new vertices?
A'(-2,-1)
B'(-3,-4)
C(2,-4)
400
A(n) _________ is the original figure in a transformation.
Pre-image
400
Side KN of Figure KLMN is parallel to Side LM. Figure KLMN is rotated 90° clockwise about Point P to produce Figure RSTU. Based on this information, select all statements that are true.
- Figure RSTU is congruent to Figure KLMN.
- ∠T has the same measure as ∠M.
- Line RS is the same length as Line MN.
- Line ST is parallel to Line RU.
- ∠R has the same measure as ∠N.
- Figure RSTU is congruent to Figure KLMN.
- ∠T has the same measure as ∠M.
- Line ST is parallel to Line RU.
400
On the graphing side of the board, graph quadrilateral W(-1,-1) X(-3,-2) Y(-4,4) Z(-1,3). Translate quadrilateral WXYZ 5 units right and 2 units down.
Graph and label vertices.
W'(4,-3)
X'(2,-4)
Y'(1,2)
Z'(4,1)
500
A(n) ________ is the resulting figure in a transformation.
Image
500
An artist is designing a logo for a new company by reflecting Triangle ABC across a vertical line and then translating it up and to the right to produce Triangle DEF. Find each measure.
Measure of <D
Length of line EF
Length of Line DF
<D= 58 degrees
EF= 3.5in
DF= 4in
500
What is the mapping notation rule for 90 degrees clockwise?
(x,y)---->(y,-x)