Reflection
Graph triangle ABC with A(-7, 1), B(-5, 6), C(-1, 3),
and its image after a reflection in the x-axis.
What are the coordinates of C’?
(-1, -3)
Graph parallelogram STUV with S(-8, 2), T(-7, 7), U(-1, 10), V(-2, 5) and its image after a rotation
of 90°counterclockwise about the origin.
What are the coordinates of S’?
(-2, -8)
Graph rhombus PQRS with P(-1, -1), Q(0, 2), R(3, 3),
S(2, 0) , and its image after a dilation of 3.
What are the coordinates of S’?
(6, 0)
Graph triangle DEF with
D(2, 9), E(8, 10), F(2, 3), and its image after a translation of (x, y) if (x –4, y –5)
What are the coordinates of F’?
(-2, -2)
The coordinates of Triangle JKL and its image
after a transformation are given below.
Identify the transformation.
Triangle JKL: J(3, -2), K(6, 1), L(5, -7)
Triangle J’K’L’: J’(-3, -2), K’(-6, 1), L’(-5, -7)
Reflection in the x-axis
Graph square ABCD with A(-9, -2), B(-8, 4), C(-2, 3), D(-3, -3) and its image after a reflection in the y-axis.
What are the coordinates of C’?
(2, 3)
Graph rectangle JKLM with J(2, -5), K(3, -2), L(8, -3),
M(7, -6), and its image after a rotation of 180°about the origin.
What are the coordinates of J’?
(-2, 5)
Graph triangle RST with R(8, -2), S(6, 6), T(2, 0),
and its image after a dilation of 1/2.
What are the coordinates of R’?
(4, -1)
Graph parallelogram DEFG with D(-9, 4), E(-8, 8),
F(-2, 8), G(-3, 4), and its image after a translation of (x, y) if (x + 2, y –7)
What are the coordinates of E’?
(-6, 1)
The coordinates of Triangle BCD and its image
after a transformation are given below.
Identify the transformation.
Triangle BCD: B(1, -2), C(7, -6), D(3, -8)
Triangle B’C’D’: B’(-1, 2), C’(-7, 6), D’(-3, 8)
180 degree rotation
Graph rectangle MNOP with M(-1, -9), N(-2, -5),
O(6, -3), P(7, -7), and its image after a reflection
along y = x.
What are the coordinates of O’?
(-3, 6)
Graph triangle XYZ with X(-7, -9), Y(-10, -3), Z(-1, -9), and its image after a rotation of 90°counterclockwise about the origin.
What are the coordinates of Z’?
(9, -1)
Graph triangle PQR with P(0, 4), Q(2, 0), R(-4, -2),
and its image after a dilation of 5/2.
What are the coordinates of R’?
(-10, -5)
Graph rhombus WXYZ with W(2, -1), X(7, -3),
Y(9, -8), Z(4, -6) and its image after a translation
of (x, y) if (x –6, y + 2)
What are the coordinates of W’?
(-4, 1)
If Triangle ABC ~ Triangle DEF, if AB = 3, BC = 6, DE = 9, what is EF?
18
Graph triangle GHI with G(-9, -1), H(-3, -4),
I(-5, -9), and its image after a reflection along y = -x.
What are the coordinates of H’?
(4, 3)
Graph trapezoid JKLM with J( 1, 1), K(2, 6), L(5, 7), M(7, 3), and its image after a rotation of 270°counterclockwise about the origin.
What are the coordinates of L’?
(7, -5)
Graph square PQRS with P(-6, -2), Q(-2, 0), R(0, -4), and S(-4, -6) and its image after a dilation of 3/2. What are the coordinates of P’?
(-9, -3)
Graph triangle BCD with B(-8,-6), C(-5, 2),
D(-2, -7) and its image after a translation of
<10, 1>.
What are the coordinates of D’?
(8, -6)
If Triangle ABC ~ Triangle DEF, if AB = 32, BC = 36, DE = x + 3, EF = x + 6. What is x?
21
Graph rectangle JKLM with J(3, -1), K(6, -5), L(4, -7), M(0, -3), and its image after a reflection over the line x = 2.
What are the coordinates of J’?
(1, -1)
Graph parallelogram STUV with S(-8, 2), T(-7, 7), U(-1, 10), V(-2, 5) and its image after a rotation
of 90°counterclockwise about the origin.
What are the coordinates of S’?
(-2, -8)
Graph rhombus STUV with S(-6, 12), T(12, 9), U(15, 6), V(3, -9) and its image after a dilation of 4/3.
What are the coordinates of V’?
(4, -12)
Graph parallelogram WXYZ with W(2, -3), X(-5, -1), Y(-1, 2), Z(6, 0), and its image after a translation of <-5, 2>
What are the coordinates of W’?
(-3, -1)
If the scale factor of Figure A to Figure B is 7:2, what is the perimeter of Figure A if the Perimeter of Figure B is 35?
122.5