University:
Wilkes University
Course:
MTH 343 | Geometry
Academic year:

2022
Views:

71

Pages:

2
Author:

rehinhea0c

Angle Sum Property of a Quadrilateral A. Choose the Correct Answer: 1. What is the sum of the interior angles of any quadrilateral? a) 180° b) 270° c) 360° d) 540° 2. If three angles of a quadrilateral are 90°, 85°, and 95°, the fourth angle is: a) 100° b) 90° c) 85° d) 75° 3. The angle sum property of a quadrilateral is derived using: a) A square b) Two triangles c) One circle d) A diagonal and a radius B. Write the Missing Terms to Complete the Sentences: 1. The sum of the four interior angles of a quadrilateral is always ______ degrees. 2. A quadrilateral can be divided into ______ triangles by drawing a diagonal. 3. If three angles of a quadrilateral are given, the ______ angle can be found using the angle sum property. 4. In a rectangle, each angle measures ______ degrees. 5. If two angles of a quadrilateral are 110° and 95°, the sum of the other two angles is ______ degrees. C. Figure out the answers to these questions: 1. The angles of a quadrilateral are in the ratio 2:3:4:5. Find the measure of each angle. 2. In quadrilateral ABCD, ‫ס‬A = 100°, ‫ס‬B = 85°, ‫ס‬C = 95°. Find ‫ס‬D and name the type of quadrilateral if possible. 3. Verify the angle sum property of a quadrilateral by drawing any quadrilateral and measuring all angles. 4. Two opposite angles of a quadrilateral are 120° and 110°, and the other two angles are equal. Find the equal angles. 5. Can a quadrilateral have all four interior angles greater than 90°? Explain why or why not. D. Mark each sentence with a True (‫ݲ‬ ‫ )ݲ‬or False (‫)ݶ‬: 1. The angle sum property is applicable to all quadrilaterals. 2. If one angle of a quadrilateral is 360°, it is possible. 3. The sum of interior angles of a quadrilateral is twice the sum of interior angles of a triangle. 4. All quadrilaterals must have at least one right angle. 5. In a parallelogram, opposite angles are equal, and the angle sum is 360°. E. Challenge yourself with these questions: 1. Draw a quadrilateral and label all angles. Measure and verify the angle sum property using a protractor. 2. Create a real-world scenario where the angle sum property helps in finding a missing angle (e.g., room corners). 3. A quadrilateral has three angles measuring 70°, 90°, and 85°. Write an equation to find the fourth angle and solve it. 4. Compare the angle sum property of a triangle and a quadrilateral using diagrams. 5. Design a puzzle where students find missing angles in a quadrilateral based on clues using the angle sum property.