Recall the method we used for finding the sum of How do we find the sum of the exterior
the interior angles measures of a convex polygon…. angle measures of a convex polygon….
1. A park in the shape of a quadrilateral PQRS is bordered by four sidewalks. Find the measure of each exterior angle of the park.
2. Find the measure of each interior angle of hexagon ABCDEF.
3. The sum of the measures of the interior angles of a regular polygon is 2340º. How many sides does the polygon have?
4. One exterior angle of a regular polygon measures 10º. What is the measure of each interior angle?
How many sides does the polygon have?
5. How many sides does a regular polygon have if each exterior angle measures 30º? Name this polygon.
6. What is the sum of the interior angle measures of a regular convex decagon.
7. Find the measure of angle a and b. 8. Find the value of a, b, and c.
a = ______b = ______a = ______b = ______c = ______
9. Draw and label fully an example 10. Draw an example of a figure that is NOT
of a regular convex octagon. a polygon, and explain why it is not a polygon.
11. A REGULAR polygon is one that is both ______and ______.
List the 4 properties of Parallelograms.
1.
2.
3.
4.
12. WXYZ is a parallelogram. Find each measure. Show your work!!
a. WX b. YZ
c. m d. m
13. Three vertices of parallelogram ABCD are A(-3, 1), B(5, 7), and C(6, 2). Use slope to find the coordinates of the fourth vertex D.
D ( ______, ______)
What must be true about the slopes of opposite sides of
a parallelogram? Explain why.
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14. If DCBA is a parallelogram. Use the properties of parallelograms to find x and y.
x = ______
y = ______
15. Show that JKLM is a parallelogram for x = 9, y = 2.5. Make sure you justify WHY your work makes this a parallelogram!
16. Determine if each quadrilateral is a parallelogram. Justify your answer! (Why or why not).
a. b. c.
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