When triangle ABC was dilated by a scale factor of 2, centered at the origin, the result was its image. A`B`C` shown on the coordinate plane below.
The vertices of A`B`C` are A` (-4,4), B` (-4,6), and C`(2,4)
What are the coordinates of the vertices for the original triangle ABC? Explain how you determined them.
Question 2
2.
Question 3
3.
When triangle ABC was translated using the rule (x, y) > (x-5, y+3), the result was image A`B`C` shown on the coordinate plane below. The vertices of the new image are A` (-4, 4), B` (-4, 6), and C` (2, 4)
What are the coordinates of the vertices of the original triangle ABC? Explain how you determined them.
Question 4
4.
Question 5
5.
Translate triangle HJK shown on the coordinate plane below using the rule (x, y) > (x + 2, y - 3). What are the vertices of the new image?
Question 6
6.
On the coordinate plane below, what is the rule to translate point B to point A?
Question 7
7.
Triangle XYZ was dilated around the origin by a scale factor of 2/3 .
The original coordinates of XYZ are X (0, 3), Y (3, 6), and Z (-3, -9). What are the coordinates of the dilated image?
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
Determine the coordinate of X`after a translation using the rule (x, y) > (x -3, y- 9)
Question 18
18.
Question 19
19.
Question 20
20.
Are the triangles ABC and A`B`C` in question 1 congruent, similar or neither.
Congruent
Similar
Neither
Are the triangles in question 3 congruent, similar or neither.
Congruent
Similar
Neither
Quadrilateral S takes on a transformation that results in quadrilateral T, and the following are true.
* The corresponding angle measures of both quadrilaterals are congruent.
* The side lengths of quadrilateral T are twice as long as those of quadrilateral S.
Using the given information what transformation was done.
Translation
Rotation
Dilation
Reflection
Rectangle FGHJ, shown below, is translated 6 units right and 1 unit up to produce rectangle F`G`H`J`.
Which statement about the side lengths of rectangle F`G`H`J` is true?
F`G` = 3, G`H` = 5
F`G` = 3, G`H` = 6
F`G` = 9, G`H` = 5
F`G` = 9, G`H` = 6
Mia enlarged a plan for an outdoor stage. The original plan is shown below.
She dilated the outdoor stage by a scale factor of four with the center of dilation at the origin. Which ordered pair will be the coordinates of one of the new vertices?
(2, 1)
(8, 16)
(32, 4)
(32, 16)
A dilation is which of the following:
An enlargement
A reduction
Either an enlargment or a reduction
Neither an enlargement or a reduction
If the scale factor is less than one, the new figure will be
an enlargement
a scale factor
a reduction
bigger
Dilate point B by a scale factor of 1/2.
(1.5, -4)
(-1, -1.5)
(-1.5, 1)
(-2, -2)
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
1/2
4
1/4
2
Which rule shows the transformation from the coordinate plane below?
(x, y) > (0.5x, 0.5y)
(x, y) > (2x, 2y)
(x, y) > (2 + x, 2 + y)
(x, y) > (3x, 3y)
Determine how to translate triangle ABC to triangle A`B`C`.
left 2, up 9
right 2, down 9
left 2, down 9
left 2, up 5
What transformation is happening?
(x, y) > (x + 2, y -3)
slide up 2, left 3
slide right 2, up 3
slide right 2, down 3
slide left 3, right 2
A transformation where a shape, image or figure changes location without any change in size.