Jarvis wants to translate rectangle ABCD horizontally by +7 and vertically by -5 to produce A'B'C'D'. What will be the coordinates of D' after Jarvis completes this translation?

Question

Coordinates are A -7,2 B -2,2 C -7,-3. D -2,3
Answers are 5,-8 -9-8. 0,-3. -8,5

Answer 1

To translate rectangle ABCD horizontally by +7 and vertically by -5, we will apply the translation to the coordinates of point D.

The original coordinates for point D are given as (−2, 3).

1. Horizontal Translation by +7:

   • New x-coordinate = Original x-coordinate + 7
   • New x-coordinate = −2 + 7 = 5

2. Vertical Translation by -5:

   • New y-coordinate = Original y-coordinate - 5
   • New y-coordinate = 3 - 5 = -2

So the new coordinates for point D' after the translation are (5, -2).

However, it looks like there are no sequence of outputs that corresponds to our translation, perhaps indicating a mistake in the problem statement or given translations.

Assuming calculations were supposed to reflect D's position we could finalize our answer again as:

The coordinates of D' after the translation are (5, -2).

Could you please confirm the original coordinates or provide more clarification regarding the answer choices?

Answer 2

I'm sorry D is -2,-3

Answer 3

No problem! Let's recalculate the new coordinates for point D using its corrected coordinates, which are \( D(-2, -3) \).

We will apply the same translations:

1. Horizontal Translation by +7:

   • New x-coordinate = Original x-coordinate + 7
   • New x-coordinate = \(-2 + 7 = 5\)

2. Vertical Translation by -5:

   • New y-coordinate = Original y-coordinate - 5
   • New y-coordinate = \(-3 - 5 = -8\)

Thus, the new coordinates for point \( D' \) after the translation will be \( (5, -8) \).

Among the provided answers, \( (5, -8) \) is one of the options.

So the final answer is D' is at (5, -8).

Answer 4

Thank you

Answer 5

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!