Today, you will practice using the transformations we've been studying. Hopefully, this will help you reach the learning targets we've been working on in class:
I can understand the difference between a translation, reflection, rotation, and dilation.
I can graph and interpret algebraic rules for translations.
I can graph and interpret algebraic rules for reflections.
I can graph and interpret algebraic rules for rotations.
I can understand how to perform sequences of transformations to map one figure onto another.
I can map a figure onto itself by using line and rotational symmetry.
Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Reflect ΔABC over the y-axis.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Finish the rule for a transformation that translates 2 units up and 3 units left.
(x,y) →
Question 17
17.
Question 18
18.
Reflect ΔMNP in the line y = -1.
Question 19
19.
Reflect ΔMNP in the line x = 1.
Question 20
20.
Question 21
21.
Question 22
22.
Question 23
23.
Use the line tool to draw all of the lines of symmetry on the shape.
Question 24
24.
Question 25
25.
Determine K' using the translation (x, y) → (x – 3, y + 1) .
Question 26
26.
Question 27
27.
Question 28
28.
Identify S' after a reflection over the x-axis.
Question 29
29.
Graph the image after a reflection over the y-axis.
Question 30
30.
A change in position, size, or shape of a figure on a coordinate plane.
Rotation
Transformation
Translation
Reflection
Dilation
A type of transformation that results from the reduction or enlargement of an image.
Translation
Rotation
Transformation
Dilation
Reflection
A type of transformation involving a slide of the graphed figure.
Transformation
Rotation
Reflection
Translation
Dilation
A type of transformation involving a flip of the graphed figure.
Translation
Rotation
Reflection
Dilation
Transformation
A type of transformation in which a figure is turned about a fixed point a certain number of degrees.
Translation
Rotation
Transformation
Dilation
Reflection
A figure is translated 3 units to the right and down 2 units. Select the algebraic rule that shows how the translation affects the figure's movement.
(x, y) → (x+3, y+2)
(x, y) → (x+3, y-2)
(x, y) → (x-3, y-2)
(x, y) → (x-3, y+2)
Which of the graphs below shows the translation described by the following rule?
(x, y) → (x+4, y+4)
A
B
C
D
ΔABC has vertices A(-2, 4), B(1,5), and C(2, 4). After a transformation is applied to the triangle, its new vertices are A’(-2,-4), B’(1,-5), and C(2,-4). Which of the following transformations was applied to the triangle?
Reflection across the line y=x
Reflection across the line y=-x
Reflection across the x-axis
Reflection across the y-axis
Quadrilateral KLMN has vertices K (3,-2), L (6,-3), M (8,-6) and N(5, -5). The quadrilateral is rotated 90° clockwise about the origin. What are the coordinates of the vertex M'?
M' (8, -6)
M' (-6, 8)
M' (-6, -8)
M' (-8, 6)
Rectangle WXYZ has vertices W(-2,-3), X(-2, 1), Y(4,1), and Z(4, -3). If the rectangle is rotated clockwise 270°, what will be the new location of point Z?
Z’ (4, -3)
Z' (4,3)
Z' (-3, 4)
Z' (3, 4)
The graph shows square PQRS and square P'QʼR'S'.
Which transformation rule creates square P'Q’R'S' from square PQRS?
(x, y) → (-x, y)
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (x+4, y)
Which transformation does NOT produce congruent figures?
Reflection over the x-axis
Translation right 3 units
Dilation by a scale factor of 0.4
Counterclockwise rotation 270° about the origin
Rectangle ABCD has vertices A(0,-2), B(0, 1), C(4, 1), and D(4, -2). After a transformation is applied to the rectangle, its new vertices are A'(2, 0), B'(-1,0), C'(-1, 4), and D'(2, 4). Which of the following transformations was applied to the rectangle?
Reflection over the y-axis
Reflection over the x-axis
90° clockwise rotation about the origin
270° clockwise rotation about the origin
What does the following rule describe?
(x, y) → (x-2, y+5)
Translate a figure up 5 units and left 2 units.
Translate a figure right 2 units and up 5 units.
Translate a figure left 2 units and down 5 units.
Translate a figure down 2 units and right 5 units.
Which of the following shows the rule for the translation shown?
(x,y) → (x+2, y-1)
(x,y) → (x+4, y-3)
(x,y) → (x-2, y+1)
(x,y) → (x-1, y+2)
Which angles of rotation will carry the regular pentagon onto itself? Check all that apply.
60°
90°
72°
180°
288°
144°
As shown in the graph below, the quadrilateral is a rectangle.
Which transformation would not map the rectangle onto itself?
a reflection over the x-axis
a reflection over the line x = 4
a rotation of 180° about the origin
a rotation of 180° about the point (4, 0)
What is the minimum number of degrees that a regular decagon (10-sides) must be rotated to map onto itself?
360°
180°
36°
25°
Select all the degrees of rotation that will carry an equilateral triangle onto itself.
30
90
120
180
240
270
360
A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?
a reflection across line m
a reflection across the x-axis
a clockwise rotation of 100° about the origin
a clockwise rotation of 144° about the origin
Which transformation is represented below?
Rotation
Reflection
Translation
Dilation
Which sequence of transformations is shown below?
Dilation by a scale factor of 2 followed by a 180 degree rotation
Dilation by a scale factor of 2 followed by a 90 degree rotation
Rotation 180 degrees followed by a dilation by a scale factor of 1/2
Rotation 90 degrees followed by a dilation by a scale factor of 1/2
