Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are [tex](-9, 2)[/tex], what are the coordinates of [tex]F^{\prime}[/tex]?

A. [tex](-17, 5)[/tex]
B. [tex](-6, -6)[/tex]
C. [tex](-17, -1)[/tex]
D. [tex](-12, -6)[/tex]

Sagot :

GinnyAnswer
To find the coordinates of [tex]\(F'\)[/tex] after a translation, we need to apply the given translation to the coordinates of the pre-image of point [tex]\(F\)[/tex].

1. Initial Coordinates: The coordinates of the pre-image of point [tex]\(F\)[/tex] are [tex]\((-9, 2)\)[/tex].

2. Translation Details: The hexagon is translated 3 units to the right and 8 units down.

3. Calculating the New Coordinates:
- To move a point 3 units to the right, we add 3 to the x-coordinate.
- To move a point 8 units down, we subtract 8 from the y-coordinate.

4. Step-by-Step Calculation:
- Original x-coordinate: [tex]\(-9\)[/tex]
- After moving right by 3 units: [tex]\(-9 + 3 = -6\)[/tex]
- Original y-coordinate: [tex]\(2\)[/tex]
- After moving down by 8 units: [tex]\(2 - 8 = -6\)[/tex]

5. New Coordinates: After applying the translation, the new coordinates of [tex]\(F'\)[/tex] are [tex]\((-6, -6)\)[/tex].

Thus, the coordinates of [tex]\(F'\)[/tex] are [tex]\((-6, -6)\)[/tex].

Therefore, the correct answer is:
[tex]\[ (-6, -6) \][/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.