Answer:
Explanation:
Hello! Here is a key for you:
Translation up some amount: y + that amount
Translation down some amount: y - that amount
Translation right some amount: x + that amount
Translation left some amount: x - that amount
Reflection across y-axis: (-x, y)
Reflection across x-axis: (x, -y)
7 - Correct
8 - Correct
9 - Correct
10 - This is correct, but your work is incorrect. The formula for reflection across the y-axis is (-x, y). So, you have to take all the points and make their x-values negative. A is located at (-2, -5). -2 = x, so -(-2) = 2 because negative x negative = positive. A' is located at (2, -5), D' is not. C' = (2, 0) is correct, because C is located at (-2, 0). B' = (3, 0) is correct because B was originally at (-3, 0). D' is located at (-2, -2) because D was originally located at (2, -2). So, all you have to do is swap what you wrote for A and D next to the graph, but the graph is completely correct.
11 - Correct
12 - Your answer for 12 isn't visible. I can see you said that P is located at (3, -2) and that P' is located at (-4, -1) which is correct. This means that (x - 7, y + 1) is the correct rule for this question because 3 - 7 = -4 and -2 + 1 = -1.
13. Your answer for 13 is incorrect. This is a reflection across the x-axis, not a translation. So there should be no adding/subtracting in the rule. The formula for reflection across the x-axis is (x, -y). We can find if this graph is a reflection across the x-axis by seeing if each of the prime versions of the original coordinates are a negative y version of the original coordinates.
U is located at (-4, 4), V is located at (-2, 4), and T is located at (-5, 2).
U' is located at (-4, -4), V is located at (-2, -4), and T is located at (-5, -2).
Since U' is located at (-4, -4) and U is located at (-4, 4), the y value turned negative, meaning that U' was a reflection across the x-axis because of (x, -y). Since V' and T' have negative y values of their corresponding original coordinates, Triangle U'V'T' is a reflection over the x-axis.
So, the correct rule you should put for question 13 is (x, -y).
14 - Correct
15 - Incorrect. All y-values turned negative, meaning this is another case of reflection over the x-axis. The correct rule is (x, -y).
16 - Correct
17 - Correct
18 - Correct
19 - Correct
20 - Incorrect. This was a translation over the x-axis, because all y-values turned negative. The correct rule is (x, -y).
For example, J is located at (-1, -1). J' is located at (-1, 1). The y-value turned negative because -(-1) = 1.
--Suggestion: Keep the formulas for the reflection across the x-axis and y-axis by you while doing homework like this.
Reflection across the x-axis formula: (x, -y).
Reflection across the y-axis formula (-x, y).
Translation up/down: (x, y +/- __)
Translation right/left: (x +/-, y)
Apply these formulas to each coordinate, not just one, to see if they all match up.
Good luck! I hope you understand this now.