Question

solve problems 10 - 13 using the graph of houses a, b, and c

1. (p) as shown in problem, house b is translated using the rule (x, y) → (x - 3, y + 2). draw house b in its new location.
2. (p) reason with mathematics the builder adds house a to her plan first with vertices at (-1, 1), (-4, 1), (-5, 7), and (-1, 7). then she moves it so it has vertices at (6, 2), (2, 2), (2, 8), and (6, 8). use mapping notation to describe how far and in what direction she translated the house
3. in its final location, house c has vertices at (4, -2), (4, -5), (6, -5), (6, -7), (8, -7), and (8, -2). in its final location, house d has vertices at (-2, -2), (-6, -2), (-6, -6), (-5, -6), (-5, -5), (-4, -5), (-4, -6), and (-2, -6).

which building represents a translation from its original placement? explain.

1. building e is a shed. it is translated 1 unit left and 2 uni

draw building e in its new location.

is figure b a translation of figure a? explain.

Explanation:

To determine if Figure B is a translation of Figure A, we recall that a translation is a rigid transformation that slides a figure without changing its shape, size, or orientation. We compare the dimensions and orientation of Figure A and Figure B. Figure A has a height of 6 cm and a width of 4 cm, while Figure B has a height of 2 cm and a width of 2 cm. Also, the orientation (the arrangement of the decorative elements) seems altered. Since a translation preserves size and shape, and here the size is reduced (scaled down) and the shape/orientation might have changed, Figure B is not a translation of Figure A.

Answer:

Figure B is not a translation of Figure A. A translation preserves the shape, size, and orientation of a figure. Figure A has a height of 6 cm and width of 4 cm, while Figure B has a height of 2 cm and width of 2 cm (indicating a change in size, likely a scaling) and a different orientation of decorative elements, so it does not meet the criteria of a translation.