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Quadrilaterals Math Task Guide Objective: Use geometric properties to solve a problem This presentation is to be used as a guide by students who struggled with the Quadrilaterals Math Task. Use this presentation as you answer the questions on the Quadrilaterals handout. In addition, please complete the survey.

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With which question would you like to get help first? QUESTION 1 QUESTION 2 QUESTION 3 Click Here to Exit Presentation when Finished When you finish this presentation, please complete the survey given to you. Turn in this survey along with your Quadrilaterals handout.

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Click here to return to Main Menu.

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Each click on the group below will provide more of the group’s conversation. You many click on “Return to Main Menu” at any time. 1) Write two correct statements about the lines PQ and AC. Yes, but what does that have to do with line AC? Doesn’t line PQ intersect line BD? Let’s all look at our section 3.8 notes to see what it says about midsegments. I bet those notes will help us find the relationship between line PQ and line AC! Please look back at your section 3.8 notes about midsegments to see if you can find the relationships between lines PQ and AC. Then click here to return to Main Menu.click here Return to Main Menu

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Click here to return to Question 1. Click here to return to Main Menu.

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Each click on the group below will provide more of the group’s conversation. You many click on “Return to Main Menu” at any time. 2) What can you say about the quadrilateral PQRS? Explain your reasoning carefully. Please look back at your section 1.9 notes about quadrilaterals to determine what shape PQRS is. Then click here to return to Main Menu.click here Return to Main Menu Yes, I think so! Is PQRS a square? I think question #3 is telling us that. I don’t think we know it’s a square yet. I think that is a hypothetical question in #3. See how it says “If?” I don’t think they would give us the answer. I don’t think it tells us that AC=BD. I think ABCD would have to be a special quadrilateral to make AC=BD. Take time to answer this question before clicking again. I think PQ=SR.

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Click here to return to Question 2. Click here to return to Main Menu.

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Each click on the group below will provide more of the group’s conversation. You many click on “Return to Main Menu” at any time. 3) If PQRS is a square, what can you say about the diagonals of ABCD? Explain how you figured it out. Do we know what shape ABCD is? Since the sides of PQRS are all midgsegments, we know that BD is twice PS (or QR). We also know that AC is twice PQ (or SR). So if PS=PQ, what does that tell us about BD and AC? In the instructions it just says that it’s a quadrilateral. It looks like an isosceles trapezoid, but I’m not sure. I’m not sure what shape ABCD is, but we know that PQRS is a square. So what characteristics does PQRS have? Return to Main Menu Take time to answer this question before clicking again. A square has all equal side lengths and all right angles. So I guess PQ=QR=RS=PS. And each of its angles is a right angle. Take time to answer this question before clicking again. If you would like to listen to more discussion about these diagonals, click here.click here Otherwise, click here to return to Main Menu.click here If you would like to listen to more discussion about these diagonals, click here.click here Otherwise, click here to return to Main Menu.click here

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Click here to return to Question 3. Click here to return to Main Menu.

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Each click on the group below will provide more of the group’s conversation. You many click on “Return to Main Menu” at any time. 3) If PQRS is a square, what can you say about the diagonals of ABCD? Explain how you figured it out. Return to Main Menu Take time to answer this question before clicking again.

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Click here to return to Part 2 Discussion of Question 3. Click here to return to Main Menu.

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