Question

One side of an enlargement of the rhombus is shown by the dotted line.

A)Complete the enlarged rhombus.

B) What is the scale factor of the enlargement?


HELP

Answer 1

A) see attached

B) 2

Explanation:

A)

See the attachment for a completed enlargement of the given rhombus.

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B)

The enlarged side shown in the problem statement is twice as long as the nearest parallel side of the rhombus. The scale factor is the ratio of the enlarged side length to the original side length: 2 : 1. The scale factor is 2.

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Additional comment

There are several ways you can determine the scale factor. The endpoints of the image side are twice as far from the center of the rhombus as the original rhombus vertices. (The original extends 1 unit left, for example, while the enlargement is 2 units left.)

The length of a side of the original (blue) rhombus is the diagonal of a 1×2 rectangle on the grid. The drawn side of the image is two such lengths.