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1. Which of the three methods discussed provide a convincing argument for why the interior angle measures of ANY triangle sum to 180°? Explain. Questions to ask yourself when answering the above question: Which method do you think does the better job of convincing us that the sum of the interior angle measures of a triangle is 180°? How do you know this method will work with every triangle? Can we try it on every one? Does this method actually prove that the sum of the measures of the interior angles in a triangle is 180°? What does it mean to prove something in mathematics? Are the rules for math the same as other subjects? 2. Based on your prior knowledge and work in the previous slides, sketch each quadrilateral (square, rhombus, rectangle, and parallelogram) and write its definition. Remember, your audience is elementary students!

1. Which of the three methods discussed provide a convincing argument for why the interior angle measures of ANY triangle sum to 180°? Explain. Questions to ask yourself when answering the above question: Which method do you think does the better job of convincing us that the sum of the interior angle measures of a triangle is 180°? How do you know this method will work with every triangle? Can we try it on every one? Does this method actually prove that the sum of the measures of the interior angles in a triangle is 180°? What does it mean to prove something in mathematics? Are the rules for math the same as other subjects? 2. Based on your prior knowledge and work in the previous slides, sketch each quadrilateral (square, rhombus, rectangle, and parallelogram) and write its definition. Remember, your audience is elementary students!

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Triangle Interior Angles and Quadrilateral Definitions #### 1. Which of the three methods discussed provide a convincing argument for why the interior angle measures of ANY triangle sum to 180°? Explain. **Questions to ask yourself when answering the above question:** - Which method do you think does the better job of convincing us that the sum of the interior angle measures of a triangle is 180°? - How do you know this method will work with every triangle? Can we try it on every one? - Does this method actually prove that the sum of the measures of the interior angles in a triangle is 180°? - What does it mean to prove something in mathematics? Are the rules for math the same as other subjects? #### 2. Based on your prior knowledge and work in the previous slides, sketch each quadrilateral (square, rhombus, rectangle, and parallelogram) and write its definition. Remember, your audience is elementary students! **Sketches and Definitions:** 1. **Square** - **Sketch:** Draw a four-sided figure with all sides equal in length and all interior angles as right angles (90°). - **Definition:** A square is a quadrilateral with all four sides of equal length and all four angles equal to 90 degrees. 2. **Rhombus** - **Sketch:** Draw a slanted four-sided figure with all sides equal in length, but with angles that are not 90 degrees. - **Definition:** A rhombus is a quadrilateral with all four sides of equal length, but no requirement for the angles to be 90 degrees. 3. **Rectangle** - **Sketch:** Draw a four-sided figure with opposite sides equal in length and all interior angles as right angles (90°). - **Definition:** A rectangle is a quadrilateral with opposite sides equal in length and all four angles equal to 90 degrees. 4. **Parallelogram** - **Sketch:** Draw a slanted four-sided figure with opposite sides equal in length and parallel, but without the requirement that the angles are 90 degrees. - **Definition:** A parallelogram is a quadrilateral with opposite sides that are equal in length and parallel to each other. The angles do not have to be 90 degrees.
Transcribed Image Text:### Triangle Interior Angles and Quadrilateral Definitions #### 1. Which of the three methods discussed provide a convincing argument for why the interior angle measures of ANY triangle sum to 180°? Explain. **Questions to ask yourself when answering the above question:** - Which method do you think does the better job of convincing us that the sum of the interior angle measures of a triangle is 180°? - How do you know this method will work with every triangle? Can we try it on every one? - Does this method actually prove that the sum of the measures of the interior angles in a triangle is 180°? - What does it mean to prove something in mathematics? Are the rules for math the same as other subjects? #### 2. Based on your prior knowledge and work in the previous slides, sketch each quadrilateral (square, rhombus, rectangle, and parallelogram) and write its definition. Remember, your audience is elementary students! **Sketches and Definitions:** 1. **Square** - **Sketch:** Draw a four-sided figure with all sides equal in length and all interior angles as right angles (90°). - **Definition:** A square is a quadrilateral with all four sides of equal length and all four angles equal to 90 degrees. 2. **Rhombus** - **Sketch:** Draw a slanted four-sided figure with all sides equal in length, but with angles that are not 90 degrees. - **Definition:** A rhombus is a quadrilateral with all four sides of equal length, but no requirement for the angles to be 90 degrees. 3. **Rectangle** - **Sketch:** Draw a four-sided figure with opposite sides equal in length and all interior angles as right angles (90°). - **Definition:** A rectangle is a quadrilateral with opposite sides equal in length and all four angles equal to 90 degrees. 4. **Parallelogram** - **Sketch:** Draw a slanted four-sided figure with opposite sides equal in length and parallel, but without the requirement that the angles are 90 degrees. - **Definition:** A parallelogram is a quadrilateral with opposite sides that are equal in length and parallel to each other. The angles do not have to be 90 degrees.
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