Download i-can translate a figure using a grid or using the

7.1 Translations (Slides)
Name: _______________________ Per _____
i-can translate a figure using a grid or using the coordinates (x,y).
Define each term in your own words.
1.
transformation
2.
translation
Draw the indicated translation. ALSO, label the images “pre-image” & “image”.
3. Translate the given figure 4 units horizontally (to
the right).
4.Translate the given figure 8 units vertically (up).
5. Translate the given figure
(down).
6. Translate the given figure 3 units horizontally (right) AND
units vertically (down).
units vertically
7. Translate the given figure 9 units horizontally
and
units vertically.
8. On problem #6, how many units diagonally did you translate
the figure? Hint: use Pythagorean’s theorem?
9. On problem #7, how many units diagonally did you translate
the figure?
10.
If a figure is translated VERTICALLY, do the x or y coordinates change? ________________________
11.
If a figure is translated HORIZONTALY, do the x or y coordinates change? ______________________
12.
Defend your claims (for problems #10 & 11) by drawing a picture below of a figure. Then draw the figure
translated both vertically and horizontally. Label which is a horizontal translation and which is a vertical translation.
Show the coordinates of each vertex of both the pre-image and the pre-images.
Determine the coordinates of the image following each given translation.
13.
Triangle ABC with coordinates A(2, 4), B(3, 6), and C(5, 1) is translated 4 units horizontally (to the right).
14.
Parallelogram DEFG with coordinates D(0, 2), E(1, 5), F(6, 5), and G(5, 2) is translated
the left).
units horizontally (to
15.
Quadrilateral HIJK with coordinates H (-1,3) I(4,5) J(2,4) K(6,-2) and is translated 3 units vertically (up).
16.
Square LMNO with coordinates
17.
Triangle PQR with coordinates
units vertically (up).
, M(3, 7), N(3, 3), and
,
, and
is translated
is translated
units vertically (down).
units horizontally (left) AND 6
18.
Triangle STU with coordinates S(0, 0), T(4, 4), and U(5, 0) is translated 10 units horizontally (up) AND
vertically (down).
19.
Rectangle WXYZ with coordinates
horizontally.
20.
,
,
, and
Rhombus ABCD with coordinates A(7, 8), B(9, 5), C(7, 2), and D(5, 5) is translated
is translated 13 units
units vertically.
units
Graph the translation and write an equation to represent the translation.
21. Translate the graph of
up 6 units. Graph the
translation and write an equation to represent the
translation.
22. Translate the graph of
down 2 units. Graph the
translation and write an equation to represent the
translation.
23. Translate the graph of
up 3 units. Graph the
translation and write an equation to represent the
translation.
24. Translate the graph of
down 2 units. Graph the
translation and write an equation to represent the
translation.
Describe the translation of the indicated equation.
25.
The equation
is the result of a translation performed on the equation
.
26.
The equation y = 2x + 4 is the result of a translation performed on the equation y = 2x .
27.
The equation y = 3x- 6 is the result of a translation performed on the equation y = 3x .
28.
The coordinates of triangle CAT are C(5,8), A(3,1), T(10,12). The coordinates AFTER the translation are
C’(8,8), A’(6,1), T’(13,12). How was triangle CAT translated?
29.
The coordinates of triangle DOG are D(7,5), O(0,8), G(6,4). The coordinates AFTER the translation are
D’(7,1), O’(0,4), G’(6,0). How was triangle DOG translated?
30.
The coordinates of triangle MRS are M(0,0), R(6,9), S(-2,4). The coordinates AFTER the translation are
M’(0,-5), R’(6,4), S’(-2,-1). How was triangle MRS translated?
31. Describe the translation from ABC to A’B’C’?
32. Describe the translation from ABC to A’B’C’?
32. Based on problems #31 & 32 above, would you say that translations (slides) lead to
a) figures that are similar
b) figures that are congruent (and therefore also similar)
33. Do you think ALL translations lead to congruent figures? Y/N
If no, draw a picture to show an example of a translation that does NOT lead to congruent figures.