Question

1. identify the object of the plan and elevation drawing:

side view: square
top view: square

• cone
• rectangular prism
• triangular prism
• cube

1. the rabbit shown below undergoes enlargement by a scale factor of 2. what is the height of the enlarged rabbit?

1. write the vector for the translation shown on the left: (the hexagon on the top is the original figure)

1. john decided to walk to g 7 on the map of merton. which place did he walk to?

1. reflect the shape given below on the dotted mirror line:

Explanation:

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"new_concepts": [
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"Translation Vectors",
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"current_concepts": [
"3D Shape Properties",
"Geometric Enlargement",
"Translation Vectors",
"Map Grid Coordinates",
"Reflection Symmetry"
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</pre_analysis>

<reasoning>

Identify the 3D object

Using the 3D Shape Properties knowledge point.
The side view and top view are both squares.
Among the choices, only a cube has square projections from these directions.

Calculate the enlarged height

The original height of the rabbit on the grid is 3 units (from \(y = -11\) to \(y = -8\)).
The scale factor is 2.
\[
\text{Enlarged Height} = 3 \times 2 = 6
\]

Determine the translation vector

The top hexagon is the original figure.
We track a corresponding vertex (e.g., the top-most vertex).
The top vertex moves straight down to the top vertex of the lower hexagon.
The horizontal shift is 0 units, and the vertical shift is \(-4\) units.
\[
\text{Translation Vector} =

$$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$$

\]

Locate the map coordinate

We find column G and row 7 on the map grid.
The intersection of column G and row 7 lies within the region labeled "Grove Farm".

Reflect the shape

The shape is a parallelogram above a horizontal dotted mirror line.
Reflecting each vertex across the horizontal line yields an identical parallelogram flipped vertically below the line.
</reasoning>

<answer>

No.	Answer
24	6 units

| 25 | \(

$$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$$

\) |

26	Grove Farm
27	A vertically flipped congruent parallelogram drawn directly below the dotted line.

</answer>

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Answer:

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"concepts_used": [
"3D Shape Properties"
],
"new_concepts": [
"Geometric Enlargement",
"Translation Vectors",
"Map Grid Coordinates"
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"3D Shape Properties",
"Geometric Enlargement",
"Translation Vectors",
"Map Grid Coordinates",
"Reflection Symmetry"
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</pre_analysis>

<reasoning>

Identify the 3D object

Using the 3D Shape Properties knowledge point.
The side view and top view are both squares.
Among the choices, only a cube has square projections from these directions.

Calculate the enlarged height

The original height of the rabbit on the grid is 3 units (from \(y = -11\) to \(y = -8\)).
The scale factor is 2.
\[
\text{Enlarged Height} = 3 \times 2 = 6
\]

Determine the translation vector

The top hexagon is the original figure.
We track a corresponding vertex (e.g., the top-most vertex).
The top vertex moves straight down to the top vertex of the lower hexagon.
The horizontal shift is 0 units, and the vertical shift is \(-4\) units.
\[
\text{Translation Vector} =

$$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$$

\]

Locate the map coordinate

We find column G and row 7 on the map grid.
The intersection of column G and row 7 lies within the region labeled "Grove Farm".

Reflect the shape

The shape is a parallelogram above a horizontal dotted mirror line.
Reflecting each vertex across the horizontal line yields an identical parallelogram flipped vertically below the line.
</reasoning>

<answer>

No.	Answer
24	6 units

| 25 | \(

$$\begin{pmatrix} 0 \\ -4 \end{pmatrix}$$

\) |

26	Grove Farm
27	A vertically flipped congruent parallelogram drawn directly below the dotted line.

</answer>

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