Single Transformations
Sequence of Transformations
Congruent, Similar, or Neither
Parallel Lines and Transversals
Slope
100
Parallelogram ABCD was translated to parallelogram A'B'C'D'.
How many units and in which direction were the x-coordinates of parallelogram ABCD were moved?
a. 3 units to the right
b. 3 units to the left
c. 7 units to the right
d. 7 units to the left
d. 7 units to the left
100
If triangle XYZ is translated 2 units to the left and then reflected across the x-axis, what are the coordinates of X'?
X' (0, -5)
100
Are the figures A and B congruent, similar, or neither? If congruent or similar, describe the transformation(s) needed to move from figure A to figure B.
Figure A and B are congruent. The transformation is a reflection over the y-axis.
100
Using the diagram below, angles 1 and 2 are what types of angles?
Vertical Angles
100
Find the slope of the line.
7/3
200
The shaded piece has been transformed into a frieze pattern. Which transformation(s) best describes how the pattern was created?
a. reflections
b. translations
c. rotations
d. translations and rotations
e. reflections and rotations
a. reflections
200
If rectangle EFGH is reflected over the y-axis, then translated 1 unit to the right, then dilated with a scale factor of 2, what are the coordinates of point G'?
G' (2, 6)
200
What is the difference between congruent figures and similar figures?
When two figures have the same shape and size, they are congruent. Similar means that the figures have the same shape, but not the same size.
200
Using the diagram below, angles 4 and 7 are what types of angles?
Consecutive Interior Angles
200
Find the slope of the line that runs between the two points:
(3, 4) and (8, 6)
2/5
300
If trapezoid KLMN is translated 6 units down and 2 units to the left, what is the coordinate of M'?
M' (2, -1)
300
Line AB has coordinates A(-3, 10) and (-3, -5). If you reflect line AB over the x-axis, then translate it 3 units to the right and 5 units down, what are the coordinates of A' and B'?
A' (0, -15)
B' (0, 0)
300
Are figures WXYZ and KLMN congruent, similar, or neither?
Neither
300
If angle 3 is 120 degrees, what is the measurement of angle 8?
120 degrees
300
Find the slope of the line that runs between the two points:
(1, 2) and (-3, 4)
-2/4 or -1/2
400
A dilation of a scale factor of 3 was applied to the rectangle ABCD, centered at the origin. What are the coordinates of B'?
B' (12, 6)
400
If triangle ABC is rotated 90 degrees clockwise about the origin, and then translated 3 units up, what are the coordinates of A'B'C'?
A' (4, -2)
B' (4, 0)
C' (1, 2)
400
Triangle DAB has side lengths of 7, 8, and 9.5. Triangle CAR has corresponding side lengths of 14, 16, and 19. Are the two triangles congruent, similar, or neither?
Similar
400
If angle 2 is 65 degrees, what is the measurement of angle 7?
115 degrees
400
Find the slope of the line.
-3/2
500
Describe the transformation from N to N'.
Rotation of 180 degrees about the origin
500
Rectangle PQRS has coordinates P(-6, 4), Q(-2, 4), R(-2, 1), and S(-6, 1). If rectangle PQRS is dilated with a scale factor of 1/2 and then reflected over the y-axis, what are the coordinates of P'Q'R'S?
P' (3, 2)
Q' (1, 2)
R' (1, 1/2)
S' (3, 1/2)
500
If Rectangle S is reflected over the y-axis, then dilated with a scale factor of 1/3, then translated with 5 units to the right, and finally dilated with a scale factor of 3, are the original and final images of Rectangle S congruent, similar, or neither?
Congruent
500
If angle 1 is 43 degrees, what is the measurement of angle 8?
137 degrees
500
Which of the following points is not on the same line as the rest of the points?
A. (0, -3)
B. (2, 0)
C. (4, 3)
D. (7, 8)
E. (16, 21)
D. (7, 8)