Coordinate Transformations Worksheets 4.1B and 4.1C

Name ________________________________________ Date ___________________ Class __________________
LESSON
4-1
Practice B
Congruence and Transformations
Apply the transformation M to the polygon with the given vertices.
Identify and describe the transformation.
1. M: (x, y) (x 2, y 3)
2. M: (x, y) (x, y)
A(1, 3), B(2, 1), C(2, 4)
P(1, 2), Q(2, 3), R(1, 2)
_____________________________________
____________________________________
3. M: (x, y) (y, x)
4. M: (x, y) (2x, 2y)
E(2, 2), F(1, 1), G(2, 2)
G(4, 3), H(2, 3), J(2, 1), K(4, 1)
____________________________________
_____________________________________
Determine whether the polygons with the given vertices are congruent.
5. A(4, 4), B(2, 4), C(2, 2), D(3, 1),
6. P(4, 4), Q(4, 2), R(2, 6);
E(4, 2); P(2, 6), Q(4, 6), R(4, 4),
J(2, 2), K(2, 1), L(1, 3)
S(3, 3), T(2, 4)
____________________________________
_____________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
4-4
Holt McDougal Geometry
Name ________________________________________ Date ___________________ Class __________________
LESSON
4-1
Practice C
Congruence and Transformations
Apply the transformation M to the polygon with the given vertices. Name the coordinates
of the image points. Identify and describe the transformation.
1. M(x, y) (x1, y2)
2. M(x, y) (
A(3, 10), B(6, 4), C(1, 4)
1 1
x, y)
2 2
A(1, 3), B(4, 1), C(2, 1)
____________________
____________________
____________________
____________________
Determine whether the polygons with the given vertices are congruent. Support your
answer by describing a transformation.
3. E(4, 1), F(2, 1), G(4, 3)
4. K(3, 1), L(1, 8), M(4, 1)
W(1, 3), X(1, 5), Y(7, 7)
T(7.5, 2.5), R(2.5, 20), S(10, 2.5)
____________________
____________________
____________________
____________________
Prove that the polygons with the given vertices are congruent.
5. A(1, 2), B(4, 1), C(3, 1) and D(4, 2), E(7, 3), 7(6, 5)
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
6.J(2, 2), K(1, 4), L(5, 2), M(2, 2) and Q(2, 2), R(4, 1), S(2, 5), T(2, 2)
_________________________________________________________________________________________
_________________________________________________________________________________________
_________________________________________________________________________________________
Apply the transformation M to the polygon with the given vertices. Name the coordinates
of the image points. Identify and describe the transformation.
7.
M(x, y) (x, y) (x4, y )
8.
M(x, y) (x, y) (x, y)
____________________
____________________
____________________
____________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
4-5
Holt McDougal Geometry