Question

1. priya and tyler are discussing the figures shown below. priya thinks that b, c, and d are scaled copies of a. tyler says b and d are scaled copies of a. do you agree with priya, or do you agree with tyler? explain your reasoning.

Explanation:

Step1: Define scaled - copy concept

A scaled - copy of a figure has all corresponding side - lengths in the same ratio.

Step2: Analyze side - lengths of figure A and B

In figure A, if we consider the side - lengths of the small squares as 1 unit. For figure B, the side - lengths are all 2 times the side - lengths of figure A. The ratio of corresponding side - lengths of B to A is 2:1.

Step3: Analyze side - lengths of figure A and C

In figure C, the side - lengths are not in a consistent ratio with figure A. For example, some side - lengths are 2 times and some are not in a simple whole - number multiple relationship with the side - lengths of A.

Step4: Analyze side - lengths of figure A and D

In figure D, the side - lengths are all 2 times the side - lengths of figure A. The ratio of corresponding side - lengths of D to A is 2:1.

Answer:

I agree with Tyler. Figures B and D are scaled copies of A because the side - lengths of B and D are all 2 times the side - lengths of A, while figure C is not a scaled copy as its side - lengths are not in a consistent ratio with those of A.