2. suppose a point at (2,3) is translated to (7,-1). which rule
describes this translation?
a) translate right 5, down 4
b) translate left 5, up 4
c) translate right 9, down 2
d) translate left 9, up 2
3. if the point (-5, -8) is reflected over the y-axis, what are the coordinates of the reflected point?
a) (5,8) b) (-5,8)
c) (5, -8) d) (-8, -5)
my answers 2. d 3. b
Please, please, please, please, please help me!!!! thank you if you do, if you don't oh well to me......thank you :)
2.
x = 2
y = 3
translated to ( 7 , - 1 )
7 - 2 = 5
- 1 - 3 = - 4
a) translate right 5 , down 4
3.
x = - 5
y = - 8
When you reflect a point across the y-axis, the y-coordinate remains the same,
but the x-coordinate is transformed into its opposite.
c ) ( 5 , -8 )
For question 2, the coordinates of the point (2,3) are translated to (7,-1). In order to find the rule describing this translation, we need to determine how the x-coordinate and y-coordinate have changed.
The x-coordinate has changed from 2 to 7, which means it has increased by 5.
The y-coordinate has changed from 3 to -1, which means it has decreased by 4.
So, the translation rule for this scenario is: translate right 5, down 4.
Therefore, the correct answer for question 2 is: a) translate right 5, down 4.
For question 3, the given point (-5, -8) is reflected over the y-axis. To perform this reflection, we simply change the sign of the x-coordinate while keeping the y-coordinate the same.
The x-coordinate changes from -5 to 5 (change of sign), and the y-coordinate remains -8.
So, the coordinates of the reflected point are (5, -8).
Therefore, the correct answer for question 3 is: c) (5, -8).
To solve these translation and reflection problems, you can use the coordinate geometry concepts. Let's go through each question step by step:
2. To determine the translation rule, you need to find how the x and y coordinates change from the original point to the translated point.
Original point: (2, 3)
Translated point: (7, -1)
Horizontal (x) change: From 2 to 7, there is an increase of 5.
Vertical (y) change: From 3 to -1, there is a decrease of 4.
So the translation rule can be described as follows:
a) Translate right 5 and down 4.
Therefore, the correct answer is option a).
3. When reflecting a point over the y-axis, you need to change the sign of the x-coordinate while the y-coordinate remains the same.
Original point: (-5, -8)
Reflected point: (x, y)
Applying the reflection rule, you change the sign of the x-coordinate:
x-coordinate: change from -5 to 5 (positive 5)
y-coordinate: remains -8
So the reflected point will be (5, -8).
Therefore, the correct answer is option c).
In summary, the correct answers are:
2. a) Translate right 5, down 4.
3. c) (5, -8).
I hope this helps!