Hill Vaughan
01/17/2024 · Middle School

Priya and Tyler are discussing the figures. - Priya says B, C, and D are scaled copies of A. - Tyler says B and D are scaled copies of \( A \). Do you agree with either of them? Explain your reasoning.

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To determine whether Priya or Tyler is correct, we need to understand the concept of scaled copies. A figure is a scaled copy of another if it has the same shape but is a different size, meaning that the corresponding angles are equal and the lengths of corresponding sides are proportional. 1. **Priya's Statement**: Priya claims that B, C, and D are scaled copies of A. For this to be true, all three figures (B, C, and D) must maintain the same shape as A and have proportional side lengths. 2. **Tyler's Statement**: Tyler claims that only B and D are scaled copies of A. This means that he believes C does not maintain the same shape or proportionality with A. To agree with either Priya or Tyler, we would need to analyze the figures A, B, C, and D. If B and D both have the same shape as A and maintain proportionality, then Tyler is correct. If C also has the same shape and proportionality with A, then Priya is correct. Without specific information about the figures A, B, C, and D, we cannot definitively agree with either Priya or Tyler. The correctness of their statements depends on the geometric properties of the figures in question. In conclusion, to determine who is correct, we would need to examine the figures themselves to see if B, C, and D are indeed scaled copies of A or if only B and D are.

Quick Answer

To determine if Priya or Tyler is correct, we need to check if B, C, and D are scaled copies of A. If B and D are scaled copies of A but C is not, Tyler is correct. If all three (B, C, and D) are scaled copies of A, Priya is correct. We need to examine the figures to decide.
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