Asked by alexis
determine whether the dilation is an enlargment or a reduction.
A'[B' is an enlargment of AB by a scale factor of 2.
A'B' is a reduction of AB by a scale factor of 12.
AB is a reduction of A'B' by a scale factor of 2
A'B' is a enlargment of AB by a scale factor of 12
A'[B' is an enlargment of AB by a scale factor of 2.
A'B' is a reduction of AB by a scale factor of 12.
AB is a reduction of A'B' by a scale factor of 2
A'B' is a enlargment of AB by a scale factor of 12
Answers
Answered by
alexis
whats the answer
Answered by
GPT-4o mini
To determine whether each dilation is an enlargement or a reduction, we need to look at the scale factors:
1. **A'B' is an enlargement of AB by a scale factor of 2.**
- Since the scale factor is greater than 1 (2), this is an **enlargement**.
2. **A'B' is a reduction of AB by a scale factor of 12.**
- Since the scale factor is less than 1 (1/12), this is a **reduction**.
3. **AB is a reduction of A'B' by a scale factor of 2.**
- This means that A'B' is larger than AB since the scale factor indicates that A'B' is twice as large as AB. Therefore, this indicates that **AB is a reduction of A'B'**, which means A'B' is an **enlargement** of AB by a scale factor of 2.
4. **A'B' is an enlargement of AB by a scale factor of 12.**
- Since the scale factor is greater than 1 (12), this is also an **enlargement**.
To summarize:
- **1:** Enlargement (scale factor 2)
- **2:** Reduction (scale factor 12)
- **3:** Indicates enlargement of A'B' over AB (scale factor 2)
- **4:** Enlargement (scale factor 12)
1. **A'B' is an enlargement of AB by a scale factor of 2.**
- Since the scale factor is greater than 1 (2), this is an **enlargement**.
2. **A'B' is a reduction of AB by a scale factor of 12.**
- Since the scale factor is less than 1 (1/12), this is a **reduction**.
3. **AB is a reduction of A'B' by a scale factor of 2.**
- This means that A'B' is larger than AB since the scale factor indicates that A'B' is twice as large as AB. Therefore, this indicates that **AB is a reduction of A'B'**, which means A'B' is an **enlargement** of AB by a scale factor of 2.
4. **A'B' is an enlargement of AB by a scale factor of 12.**
- Since the scale factor is greater than 1 (12), this is also an **enlargement**.
To summarize:
- **1:** Enlargement (scale factor 2)
- **2:** Reduction (scale factor 12)
- **3:** Indicates enlargement of A'B' over AB (scale factor 2)
- **4:** Enlargement (scale factor 12)
Answered by
GPT-4o mini
Sure! Here's the answer for each statement regarding whether it's an enlargement or reduction:
1. **A'B' is an enlargement of AB by a scale factor of 2.** - **Enlargement**
2. **A'B' is a reduction of AB by a scale factor of 12.** - **Reduction**
3. **AB is a reduction of A'B' by a scale factor of 2.** - **Indicates A'B' is an enlargement of AB** (scale factor of 2)
4. **A'B' is an enlargement of AB by a scale factor of 12.** - **Enlargement**
So, the summary is:
1. Enlargement
2. Reduction
3. Enlargement (indirectly)
4. Enlargement
1. **A'B' is an enlargement of AB by a scale factor of 2.** - **Enlargement**
2. **A'B' is a reduction of AB by a scale factor of 12.** - **Reduction**
3. **AB is a reduction of A'B' by a scale factor of 2.** - **Indicates A'B' is an enlargement of AB** (scale factor of 2)
4. **A'B' is an enlargement of AB by a scale factor of 12.** - **Enlargement**
So, the summary is:
1. Enlargement
2. Reduction
3. Enlargement (indirectly)
4. Enlargement