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Geometry: Understanding the Law of Detachment Quiz

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1. What can be concluded if the statement 'If a triangle is equilateral, then it has three congruent sides' is true, and you know that a triangle is equilateral?

2. If the statement 'If a shape is a square, then it is a rectangle' is true, which of the following can be correctly concluded if you know a shape is a square?

3. In the context of the Law of Detachment, which of the following statements is true regarding conditional statements?

4. Given the statement 'If a polygon is a rhombus, then it has four sides of equal length' is true, which conclusion can be drawn if a polygon is identified as a rhombus?

5. What mistake does the following reasoning make: 'If it rains, then the ground gets wet. It did not rain, therefore the ground is not wet.'?

6. Which of the following best represents the Law of Detachment?

7. According to the Law of Detachment in geometry, what can be inferred if 'All circles are round' is true and you have a shape that is a circle?

8. Given the true statement 'If an angle measures 90 degrees, then it is a right angle', what can be concluded if an angle measures 90 degrees?

9. Which of the following is a correct application of the Law of Detachment?

10. What logical inference can be made from the statement 'If a line segment bisects an angle of a triangle, then the triangle is isosceles', assuming the statement is true and a triangle has an angle bisected by a line segment?