Solve the Problem $\mathrm { A } ( - 1 , - 2 ) , \mathrm { B } ( 2 , - 3 )$

question 37

Multiple Choice

Solve the problem.
-Points $\mathrm { A } ( - 1 , - 2 ) , \mathrm { B } ( 2 , - 3 )$ , and $\mathrm { C } ( - 3 , - 8 )$ are given. Find all possible coordinates of point $\mathrm { D }$ such that the four points form a rectangle. For each location of point D found, find a translation that will take $\overline { \mathrm { AB } }$ to the opposite side of the rectangle formed.

• A) \(\mathrm { D } ( 1 , - 11 )\); A translation that takes \(\overline { \mathrm { AB } }\) to \(\overline { \mathrm { CD } }\) such that the image of \(\mathrm { A }\) is \(\mathrm { C }\) and the image of \(\mathrm { B }\) is \(D\) is \(( x , y ) \rightarrow ( x + 1 , y + 3 )\).
• B) \(\mathrm { D } ( 3 , - 9 )\); \(A\) translation that takes \(\overline { \mathrm { AB } }\) to \(\overline { \mathrm { CD } }\) such that the image of \(\mathrm { A }\) is \(\mathrm { C }\) and the image of \(\mathrm { B }\) is \(D\) is \(( x , y ) \rightarrow ( x - 3 , y - 1 )\).
• C) \(\mathrm { D } ( 0 , - 9 )\); A translation that takes \(\overline { \mathrm { AB } }\) to \(\overline { \mathrm { CD } }\) such that the image of \(\mathrm { A }\) is \(\mathrm { C }\) and the image of \(\mathrm { B }\) is \(D\) is \(( x , y ) \rightarrow ( x - 2 , y - 6 )\).
• D) \(\mathrm { D } ( - 2 , - 8 )\); A translation that takes \(\overline { \mathrm { AB } }\) to \(\overline { \mathrm { CD } }\) such that the image of \(\mathrm { A }\) is \(\mathrm { C }\) and the image of \(\mathrm { B }\) is \(D\) is \(( x , y ) \rightarrow ( x - 6 , y - 2 )\).

Identify the impact of logistics costs and the economic and strategic decisions behind facility location, including the influence of tariffs and global competition.

Understand the terms and technologies related to measuring heart activity, including the use of an electrocardiogram (ECG).

Identify and understand the different components of the cardiac cycle as represented on an ECG.

Recognize the anatomy and function of the heart's conduction system and its role in generating heart rhythm.

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Definitions:

Serious Delinquency

Involvement in illegal activities by a minor that are considered severe by societal standards, often leading to significant legal consequences.

Aboriginals

Indigenous peoples who are the original inhabitants of a geographical region, possessing distinct cultural, linguistic, and historical traits.

Federal Inmates

Individuals convicted of federal crimes and serving sentences in federal prisons or correctional facilities.

Criminogenic Environment

An environment that, as a result of laws that privilege certain groups, produces crime or criminality.