Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Sure! Let's go through the translation process step by step for each vertex of the quadrilateral CARD.
The original coordinates of the vertices are:
- C(5, -3)
- A(9, -3)
- R(11, -7)
- D(3, -7)
The translation involves moving each vertex three units to the right and eight units up. This means we add 3 to the x-coordinate and 8 to the y-coordinate of each vertex.
1. Translating Vertex C(5, -3):
- New x-coordinate: [tex]\( 5 + 3 = 8 \)[/tex]
- New y-coordinate: [tex]\( -3 + 8 = 5 \)[/tex]
- So, the new coordinates for C are (8, 5).
2. Translating Vertex A(9, -3):
- New x-coordinate: [tex]\( 9 + 3 = 12 \)[/tex]
- New y-coordinate: [tex]\( -3 + 8 = 5 \)[/tex]
- So, the new coordinates for A are (12, 5).
3. Translating Vertex R(11, -7):
- New x-coordinate: [tex]\( 11 + 3 = 14 \)[/tex]
- New y-coordinate: [tex]\( -7 + 8 = 1 \)[/tex]
- So, the new coordinates for R are (14, 1).
4. Translating Vertex D(3, -7):
- New x-coordinate: [tex]\( 3 + 3 = 6 \)[/tex]
- New y-coordinate: [tex]\( -7 + 8 = 1 \)[/tex]
- So, the new coordinates for D are (6, 1).
Thus, after translating the quadrilateral CARD three units to the right and eight units up, the new coordinates of the vertices are:
- C'(8, 5)
- A'(12, 5)
- R'(14, 1)
- D'(6, 1)
These are the coordinates of the images of each vertex after the translation.
The original coordinates of the vertices are:
- C(5, -3)
- A(9, -3)
- R(11, -7)
- D(3, -7)
The translation involves moving each vertex three units to the right and eight units up. This means we add 3 to the x-coordinate and 8 to the y-coordinate of each vertex.
1. Translating Vertex C(5, -3):
- New x-coordinate: [tex]\( 5 + 3 = 8 \)[/tex]
- New y-coordinate: [tex]\( -3 + 8 = 5 \)[/tex]
- So, the new coordinates for C are (8, 5).
2. Translating Vertex A(9, -3):
- New x-coordinate: [tex]\( 9 + 3 = 12 \)[/tex]
- New y-coordinate: [tex]\( -3 + 8 = 5 \)[/tex]
- So, the new coordinates for A are (12, 5).
3. Translating Vertex R(11, -7):
- New x-coordinate: [tex]\( 11 + 3 = 14 \)[/tex]
- New y-coordinate: [tex]\( -7 + 8 = 1 \)[/tex]
- So, the new coordinates for R are (14, 1).
4. Translating Vertex D(3, -7):
- New x-coordinate: [tex]\( 3 + 3 = 6 \)[/tex]
- New y-coordinate: [tex]\( -7 + 8 = 1 \)[/tex]
- So, the new coordinates for D are (6, 1).
Thus, after translating the quadrilateral CARD three units to the right and eight units up, the new coordinates of the vertices are:
- C'(8, 5)
- A'(12, 5)
- R'(14, 1)
- D'(6, 1)
These are the coordinates of the images of each vertex after the translation.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.