1. Write a rule to describe the translation of a point from (-3,3) to (-2,2).
a. (x,y) --> (x - 1, y + 1)
b. (x,y) --> (x + 1, y + 1)
c. (x,y) --> (x - 1, y - 1)
d. (x,y) --> (x + 1, y - 1)
2. The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain
3. Can the figure below tessellate a plane? Explain your answer.
( the figure looks like a rainbow.)
My answers.
1. a
3. No, there's going to be gaps.
1. x can only go left and right, y can only go up and down. The rule would be (x+1,y-1). In this case x would go right 1 space, and y would go down 1 space.
2. If the coordinates are (x,-y) then it will be in the fourth quadrant. If the coordinates are (-x,y) then it will be in the second quadrant.
3. I agree with your 3rd answer. You can't use that shape to tessellate a plane because it's not able to fill the entire space.
That doesnt give the answer
To the quiation
the answer is:
D. (x, y) —> (x + 1, y - 1)
x goes up, y goes down, d
both x and y change
that only happens in quads one and three
I agree about 3
Anonymous the answer is d (x,y)--»(x+1,y - 1)
1. To determine the translation rule, we need to observe the difference between the coordinates of the original point and the translated point.
The original point is (-3, 3) and the translated point is (-2, 2).
We can see that there is a shift of 1 unit to the right in the x-coordinate (from -3 to -2), and a shift of 1 unit downwards in the y-coordinate (from 3 to 2).
Therefore, the translation rule that describes this transformation is: (x, y) --> (x + 1, y - 1).
Looking at the given options, the correct answer is d. (x, y) --> (x + 1, y - 1).
2. When the coordinates of an ordered pair have opposite signs (one is positive and the other is negative), it indicates that the point lies in either the second or fourth quadrant of the coordinate plane.
To understand this, let's consider the four quadrants of the coordinate plane:
- The first quadrant (Q1) has positive x and y coordinates.
- The second quadrant (Q2) has negative x coordinates but positive y coordinates.
- The third quadrant (Q3) has negative x and y coordinates.
- The fourth quadrant (Q4) has positive x coordinates but negative y coordinates.
For an ordered pair to have opposite signs, one coordinate must be positive and the other must be negative. This can only occur in the second or fourth quadrant of the coordinate plane.
Therefore, the ordered pair must lie in both the second (Q2) and fourth (Q4) quadrants.
3. In order for a figure to tessellate a plane, it must be possible to repeatedly translate and rotate the figure without any gaps or overlaps.
Based on the description of the figure looking like a rainbow, it is unlikely that such a figure can tessellate a plane. A rainbow typically has curved and irregular shapes, which would make it difficult for the figure to fit together perfectly without any gaps or overlaps.
Therefore, it is unlikely that the figure can tessellate a plane, and the answer is no.