three vertices of a parallelogram are 1 2 3 4 and 5 6 what is the fourth coordinate
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ATI TEAS 7

TEAS Test Math Questions

1. Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?

Correct answer: D

Rationale: To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length. Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex. Therefore, the correct answer is (7, 8). Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.

2. What text feature does the author use to organize the passage?

Correct answer: A

Rationale: Headings and subheadings are commonly used text features that help organize a passage by signaling different sections or topics. In this case, the passage is organized with clear headings such as 'Dairy: Beverage,' 'Dairy: Meals,' 'Dairy: Snack,' and 'Dairy: Dessert.' These headings provide a structured layout, making it easier for readers to identify specific information within each category. Superscripts, diagrams, and labels and footnotes are not used in this passage for organizing content, making them incorrect choices.

3. Which part of the cell is responsible for storing genetic information?

Correct answer: C

Rationale: The correct answer is C, Nucleus. The nucleus is responsible for storing genetic information in the form of DNA. The DNA within the nucleus controls the activities of the cell by directing the synthesis of proteins and regulating gene expression. Choices A, Ribosome, B, Mitochondrion, and D, Cytoplasm, do not store genetic information. Ribosomes are involved in protein synthesis, mitochondria produce energy for the cell, and cytoplasm is a gel-like substance that houses organelles and where many cellular activities occur.

4. What effect does doubling the net force applied to an object have on its acceleration, assuming mass remains constant?

Correct answer: A

Rationale: According to Newton's second law of motion, acceleration is directly proportional to the net force applied to an object when mass is constant. Therefore, if the net force is doubled, the acceleration of the object will also double. This relationship is expressed by the formula F=ma, where F is the net force, m is the mass, and a is the acceleration. When mass is constant, doubling the force applied will result in a proportional doubling of acceleration. Choices B, C, and D are incorrect because doubling the net force does not halve, maintain, or quadruple the acceleration; it directly and proportionally increases the acceleration.

5. According to the Law of Conservation of Energy, what happens to the total amount of energy in a closed system?

Correct answer: C

Rationale: According to the Law of Conservation of Energy, the total amount of energy in a closed system remains constant. This principle states that energy cannot be created or destroyed within the system but can only be transformed from one form to another. Therefore, the total energy within the system is conserved and does not change over time. Choice A is incorrect because the total energy in a closed system does not increase over time, as it remains constant. Choice B is incorrect as the total energy does not decrease over time within a closed system. Choice D is incorrect as the conservation of energy is not dependent on the temperature of the system, but rather on the transformation and conservation of energy within the system. Understanding this concept is fundamental for understanding the behavior of energy in various physical systems and processes.

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