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.
1 point
1
Question 1
1.
A change in position, size, or shape of a figure on a coordinate plane.
1 point
1
Question 2
2.
A type of transformation that results from the reduction or enlargement of an image.
1 point
1
Question 3
3.
A type of transformation involving a slide of the graphed figure.
1 point
1
Question 4
4.
A type of transformation involving a flip of the graphed figure.
1 point
1
Question 5
5.
A type of transformation in which a figure is turned about a fixed point a certain number of degrees.
1 point
1
Question 6
6.
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.
1 point
1
Question 7
7.
Which of the graphs below shows the translation described by the following rule?
(x, y) → (x+4, y+4)
1 point
1
Question 8
8.
Reflect ΔABC over the y-axis.
1 point
1
Question 9
9.
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?
1 point
1
Question 10
10.
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'?
1 point
1
Question 11
11.
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?
1 point
1
Question 12
12.
The graph shows square PQRS and square P'QʼR'S'.
Which transformation rule creates square P'Q’R'S' from square PQRS?
1 point
1
Question 13
13.
Which transformation does NOT produce congruent figures?
1 point
1
Question 14
14.
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?
1 point
1
Question 15
15.
What does the following rule describe?
(x, y) → (x-2, y+5)
1 point
1
Question 16
16.
Finish the rule for a transformation that translates 2 units up and 3 units left.
(x,y) →
1 point
1
Question 17
17.
Which of the following shows the rule for the translation shown?
1 point
1
Question 18
18.
Reflect ΔMNP in the line y = -1.
1 point
1
Question 19
19.
Reflect ΔMNP in the line x = 1.
1 point
1
Question 20
20.
Which angles of rotation will carry the regular pentagon onto itself? Check all that apply.
1 point
1
Question 21
21.
As shown in the graph below, the quadrilateral is a rectangle.
Which transformation would not map the rectangle onto itself?
1 point
1
Question 22
22.
What is the minimum number of degrees that a regular decagon (10-sides) must be rotated to map onto itself?
1 point
1
Question 23
23.
Use the line tool to draw all of the lines of symmetry on the shape.
1 point
1
Question 24
24.
Select all the degrees of rotation that will carry an equilateral triangle onto itself.
1 point
1
Question 25
25.
Determine K' using the translation (x, y) → (x – 3, y + 1) .
1 point
1
Question 26
26.
A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?
1 point
1
Question 27
27.
Which transformation is represented below?
1 point
1
Question 28
28.
Identify S' after a reflection over the x-axis.
1 point
1
Question 29
29.
Graph the image after a reflection over the y-axis.