Question

Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown below.

Raheem: The rule is (x times (negative 1), y times (negative 1)) because Negative 2 times (negative 1) = 2 and Negative 4 times (negative 1) = 4.
Casey: The rule is (x + 2, y + 4) because the image is (2, 4).
Andrew: The rule is (x + 4, y + 0) because the coordinates are opposites.
Lo: The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

Which student is correct?
Raheem
Casey
Andrew
Lo

Answer 1

Answer:

Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Step-by-step explanation:

i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.

ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)

iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).

iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Answer 2

Four students are trying to find the rule that translates point N (–2, –4) to N prime (2, 4),

According to Lo's statement : The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4)

How to find whose statement is correct?

To find that we need to first understand students statement accordingly.

Given: Student statements as:-

1. Raheem: The rule is (x times (negative 1), y times               (negative 1)) because Negative 2 times (negative 1) = 2 and Negative 4 times (negative 1) = 4.
2. Casey: The rule is (x + 2, y + 4) because the image is (2, 4).
3. Andrew: The rule is (x + 4, y + 0) because the coordinates are opposites.
4. Lo: The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

Now lets understand all the staements of respective students,

According to Raheem his statement is incorrect because it states that we can only use addition or subtraction and not multiplication in transtions.

Therefore, Raheem's answer is NOT CORRECT.

According to Casey his statement is incorrect because after applying the rule : (x+2, y+4) on the coordinates N(-2, -4) that will gives (0,0) but not N'(2,4).

Therefore, Casey's answer is NOT CORRECT.

According to Andrew his statement is incorrect because after applying the rule: (x+4, y+0) on the coordinates N(-2, -4) that will gives us (2,-4) but not N'(2,4).

Therefore, Andrew's answer is NOT CORRECT.

According to Lo his statement is correct because after applying the rule: (x+4, y+8) on the coordinates N(-2, -4) that will gives us N'(2,4).

Therefore, Andrew's answer is CORRECT.

So, The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4)

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