Properties of Polygons_ Tutorial

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University of South Carolina *

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A503

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Mathematics

Date

Apr 3, 2024

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pdf

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5

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2/28/24, 10:49 AM Lesson Activity: Applying Properties of Quadrilaterals https://f1.app.edmentum.com/courseware-delivery/ua/125276/45610409/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV… 1/5 Lesson Activity Applying Properties of Quadrilaterals This activity will help you meet this educational goal: You will use, identify, and apply the properties of quadrilaterals to solve problems. Directions Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work. Activity In this activity, you will summarize the properties of quadrilaterals and use the properties of kites to solve a problem. Question 1 Complete the table by entering an x for each quadrilateral that has the property.
2/28/24, 10:49 AM Lesson Activity: Applying Properties of Quadrilaterals https://f1.app.edmentum.com/courseware-delivery/ua/125276/45610409/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV… 2/5 Answer: Property Quadrilateral Parallelogram Rectangle Rhombus Square Trapezoid Isosceles Trapezoid Kite Both pairs of opposite sides are congruent. x x x Both pairs of opposite angles are congruent. x x x x x All angles are congruent. x x x Diagonals bisect each other. x Diagonals are congruent. x x Diagonals are perpendicular. Diagonals bisect only one pair of opposite angles. Only two pairs of consecutive angles are supplementary. Diagonals bisect both pairs of opposite angles. All pairs of consecutive angles are supplementary. Space used (includes formatting): 5785 / 15000 Show Sample Answer
2/28/24, 10:49 AM Lesson Activity: Applying Properties of Quadrilaterals https://f1.app.edmentum.com/courseware-delivery/ua/125276/45610409/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2x0aS92Mi9sZWFybmV… 3/5 Question 2 Suppose a kite has two congruent angles of . Of the remaining angles, one is four times larger than the other. What is the measure of the largest angle in the kite? Answer: The measure of the largest angle in the kite is 128 degrees Space used (includes formatting): 90 / 15000 Show Sample Answer Question 3 Verify through an informal, paragraph proof that in a kite, one diagonal bisects a pair of opposite angles. You can refer to this image.
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