Essential Question: What happens when you slide objects on a coordinate plane?
Learning Target: Students will be able to perform translations on objects on a coordinate plane.
Complete the entire assignment and show work for full credit.
Required
9 points
9
Question 1
1.
What are the three types of rigid motion?
"Spin"_______
"Slide"_______
"Flip"_______
Required
3 points
3
Question 2
2.
What is another word for translation besides "slide"?
_______
Required
2 points
2
Question 3
3.
Rigid motion like, translations, reflections, and rotations change the size and shape of a figure.
Required
16 points
16
Question 4
4.
Match the description of a translation to its coordinate form
Draggable item
arrow_right_alt
Corresponding Item
to the right 1 units and up 1 units
arrow_right_alt
(x+2,y+3)
to the down 3 units and down 3 units
arrow_right_alt
(x-5,y+6)
to the right 1 units and down 7 units
arrow_right_alt
(x+1,y-7)
to the right 3 units and down 3 units
arrow_right_alt
(x+3,y-3)
to the right 3 units and up 3 units
arrow_right_alt
(x-3,y-3)
to the left 5 units and up 6 units
arrow_right_alt
(x+3,y+3)
to the right 2 units and up 3 units
arrow_right_alt
(x-2,y+8)
to the left 2 units and up 8 units
arrow_right_alt
(x+1,y+1)
Required
3 points
3
Question 5
5.
When performing translation, the image describes the object ____________ a the translation has been performed.
Required
2 points
2
Question 6
6.
You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?
Required
5 points
5
Question 7
7.
What does the following rule describe? (x, y) → (x-2, y+5)
Use your own words to describe the rule.
10 points
10
Question 8
8.
Finish the rule for a transformation that translates 2 units up and 3 units left.
(x,y) →
10 points
10
Question 9
9.
Which of the following shows the rule in coordinate notation for the translation above?
Required
10 points
10
Question 10
10.
Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)
(x,y) →
Required
5 points
5
Question 11
11.
Describe the translation that maps each preimage to its image in coordinate
notation.
Required
5 points
5
Question 12
12.
Describe the translation that maps each preimage to its image in coordinate
notation. No Spaces
Required
30 points
30
Question 13
13.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
C'_______
D'_______
E'_______
Protip: Transform the points first then graph them.
Required
40 points
40
Question 14
14.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
J'_______
K'_______
L'_______
M'_______
Protip: Transform the points first then graph them.
Required
40 points
40
Question 15
15.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
W'_______
X'_______
Y'_______
Z'_______
Protip: Transform the points first then graph them.
Translation with Vectors Due (2/9/23)
Required
5 points
5
Question 16
16.
Describe the translation that maps each preimage to its image as a vector in component form. No Spaces
Required
5 points
5
Question 17
17.
Describe the translation that maps each preimage to its image as a vector in component form. No Spaces
Required
5 points
5
Question 18
18.
Describe the translation that maps each preimage to its image as a vector in component form. No Spaces
Required
5 points
5
Question 19
19.
Describe the translation that maps each preimage to its image as a vector in component form. No Spaces
Required
5 points
5
Question 20
20.
Describe the translation that maps each preimage to its image as a vector in component form. No Spaces
Required
40 points
40
Question 21
21.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
L'_______
M'_______
N'_______
P'_______
Protip: Transform the points first then graph them.
Required
40 points
40
Question 22
22.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
F'_______
G'_______
H'_______
I'_______
Protip: Transform the points first then graph them.
Required
5 points
5
Question 23
23.
Required
5 points
5
Question 24
24.
Day 3 2/13/24
Concept Review
Required
9 points
9
Question 25
25.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Required
5 points
5
Question 26
26.
Write the equation in slope intercept form with the given information:
Required
4 points
4
Question 27
27.
Identify the coordinate (-5,5) and the coordinate that is 5 units to the right and 1 unit up from it.
Required
4 points
4
Question 28
28.
Identify the coordinate (-3,2) and the coordinate that is 1 unit to the left and 6 units down from it.
Required
2 points
2
Question 29
29.
Identify the point that is 3 units to the left and 4 units down from the coordinate (3,0).
Required
10 points
10
Question 30
30.
Identify the point that is 3 units to the left and 3 units up from the coordinate (3,0).
Required
5 points
5
Question 31
31.
What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
6x-3y=18
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______
y-intercept
_______
Required
5 points
5
Question 32
32.
What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
5x+2y=14
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______
y-intercept
_______
Required
10 points
10
Question 33
33.
Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]
Be sure to write your solution in coordinate form (x,y)
Required
20 points
20
Question 34
34.
Solve each system of equations by elimination. [Write your answer in coordinate form--(x,y)]
Required
20 points
20
Question 35
35.
Solve each word problem using substitution or elimination.
# nickels _______
# quarters _______
1 point
1
Question 36
36.
You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?
Required
1 point
1
Question 37
37.
What does the following rule describe?
(x, y) → (x-2, y+5)
Required
5 points
5
Question 38
38.
Finish the rule for a transformation that translates 5 units down and 2 units right.
(x,y) →
Required
10 points
10
Question 39
39.
Are the two figures congruent? Explain your reasoning using complete sentences.
Required
3 points
3
Question 40
40.
Which of the following shows the rule in coordinate notation for the translation from question 39 above?
Remember to use the coordinate notation (x,y)→(x+h,y+k)
Required
15 points
15
Question 41
41.
△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1). What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?
A'_______
B'_______
C'_______
Required
20 points
20
Question 42
42.
Translate △RST 3 spaces down and 5 space to the right. Be sure to have the correct labels of your new prime vertices.
R'-_______
S'-_______
T'-_______
Required
15 points
15
Question 43
43.
△CAT has coordinates of C(6,1), A(6,-2), and T(2, -2). What are the new coordinates of △C'A'T' when the figure is translated 6 units down and 4 units to the left?
C'-_______
A'-_______
T'-_______
Required
5 points
5
Question 44
44.
In your own words, describe what a translation is. (Use complete sentences)