College

We appreciate your visit to Rigid Transformations A military compound is located in a city where the streets are arranged in a grid The compound is going to be moved. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Rigid Transformations:

A military compound is located in a city where the streets are arranged in a grid. The compound is going to be moved to a new location in the same city. The new compound will be exactly the same as the old one and in the same orientation.

The existing location is represented on the coordinate grid shown, where each unit represents one city block.

Which of the following best describes the situation?

(Note: Without the diagram or the options provided, the answer cannot be completed. Please refer to the original source for the options associated with the grid coordinates mentioned.)

Answer :

The question describes moving a military compound within a city grid, which constitutes a rigid transformation, specifically a translation within a Cartesian coordinate system.

The scenario described involves moving a military compound within a city grid while maintaining its shape and orientation. This can be classified as a rigid transformation, which in two-dimensional geometry, includes translation, rotation, and reflection. Since the compound's shape and orientation remain unchanged, the movement can be considered a translation, where every point of the object is shifted in a constant direction and distance. In a grid-based city, this is analogous to moving the compound a certain number of blocks east, west, north, or south. Another way to look at this is that the grid in the city behaves like a Cartesian coordinate system, and the compound's relocation is described by a coordinate shift that changes the (x, y) location of each point of the compound by the same amount, without altering distances or angles

Thanks for taking the time to read Rigid Transformations A military compound is located in a city where the streets are arranged in a grid The compound is going to be moved. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

In this question, we are given two locations of a military compound.

Let's take the coordinates of point A from the graph,

A = (-3, 2)

The new coordinates of A' = (5, 13)

translation in x-axis = 5 - (-3) = 5 + 3 = 8

translation in y-axis = 13 - 2 = 11

hence, each point of the figure will be translated to 8 units on the x-axis and 11 units on the y-axis.