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. (from unit 1, lesson 1)

Explanation:

Step1: Define scaled - copy concept

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

Step2: Analyze figure B

For figure B, each side length of the cross - shaped figure A is multiplied by 2. The ratio of corresponding side lengths of A and B is 1:2. So B is a scaled copy of A.

Step3: Analyze figure C

For figure C, the horizontal and vertical segments of figure A are not multiplied by the same factor to get figure C. For example, if we consider the horizontal segments, the ratio of lengths is different from that of the vertical segments. So C is not a scaled copy of A.

Step4: Analyze figure D

For figure D, each side length of figure A is multiplied by 2. The ratio of corresponding side lengths of A and D is 1:2. So D is a scaled copy of A.

Answer:

I agree with Tyler. B and D are scaled copies of A, while C is not a scaled copy of A.