Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Question 4

### Problem Statement: Equilateral triangle \(JKL\) can be mapped onto the equilateral triangle \(RST\) by a dilation about the origin. ### Question: What is the scale factor of the dilation? ### Options: - A. 9 - B. 8 - C. 4 **(Selected Option)** - D. 3 ### Graph Explanation: The accompanying graph is a coordinate plane with labeled points representing equilateral triangles \(JKL\) and \(RST\). - The coordinate plane has an x-axis ranging from \(-10\) to \(10\) and a y-axis ranging from \(-10\) to \(10\). - Triangle \(L\) has vertices at points: - \(J (0, 2)\) - \(K (2, 2)\) - \(L (1, -1)\) - Triangle \(RST\) has vertices at points: - \(R (0, 8)\) - \(S (8, 8)\) - \(T (4, -4)\) The points indicate that triangle \(RST\) is a larger, scaled version of triangle \(JKL\). The correct scale factor is provided by the ratio of corresponding distances from the origin to a point from each pair of vertices.
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Transcribed Image Text:### Problem Statement: Equilateral triangle \(JKL\) can be mapped onto the equilateral triangle \(RST\) by a dilation about the origin. ### Question: What is the scale factor of the dilation? ### Options: - A. 9 - B. 8 - C. 4 **(Selected Option)** - D. 3 ### Graph Explanation: The accompanying graph is a coordinate plane with labeled points representing equilateral triangles \(JKL\) and \(RST\). - The coordinate plane has an x-axis ranging from \(-10\) to \(10\) and a y-axis ranging from \(-10\) to \(10\). - Triangle \(L\) has vertices at points: - \(J (0, 2)\) - \(K (2, 2)\) - \(L (1, -1)\) - Triangle \(RST\) has vertices at points: - \(R (0, 8)\) - \(S (8, 8)\) - \(T (4, -4)\) The points indicate that triangle \(RST\) is a larger, scaled version of triangle \(JKL\). The correct scale factor is provided by the ratio of corresponding distances from the origin to a point from each pair of vertices.
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