Question
Please help! 1. The Polygon Angle-Sum Theorem is the sum of the measures of the interior angles of a n-gon. *Write a formula that finds
Please help!
1. ThePolygon Angle-Sum Theoremis the sum of the measures of the interior angles of a n-gon.
*Write a formula that finds the sum of the interior angles where n=the number of sides.
_________________________
| 2. Find thesum of the interior angles in a regular hexagon.
Answer: ______________ |
2. TheCorollary to the Polygon Angle-Sum Theorem finds the measure of each interior angle of a regular n-gon.
*Write a formula to find the measure of each interior angle using n=number of sides.
_________________________ | 4. Find the measure ofeach interior angle of a regular hexagon. Answer: _____________
|
5. ThePolygon Exterior Angle-Sum Theorem states that the exterior angles of any polygon add up to 360 degrees.
*Write a formula that can help you find the measure of each individual exterior angle in any polygon. Use n for the number of sides.
_________________________ | 6. Find the measure ofeach exterior angle of an octagon.
Answer: _____________
|
7. What is the sum of the degrees of the interior angles of a 19-gon?
Answer: _________
| 8. What is the SUM of the angle measures in a nonagon (9 sides)?
Answer: _________ |
9. What is the sum of the exterior angles of a 20-gon? 180 360 3240 162
Answer: ________
| 10. A polygon's interior angles add up to 2700. How many sides does the polygon have? 17 15 19 11
Answer: _________ |
11. Find the measure of angle E.
| 12. Solve for X.
x = _______________ |
13. What is the most precise name for quadrilateral ABCD with vertices A(-2, -1), B(2, 2), C(1, -2), and D(-3, -3)?
Answer: ______________
| 14. What is the most precise term for quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5)?
Answer: _______________
|
15. An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1)
What is the length of side BC?
Answer: ________
| 16. An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1) Based on your discoveries about the lengths of the sides, can this shape be a square? Answer: ________
|
17. An unknown quadrilateral has these points: A(0,-3) B(6,-3) C(9,1) D(3,1) Based on your discoveries about the slopes of the sides, can this shape be a parallelogram? Answer: ___________
| 18. This figure is NOT a ________.
Answer: _____________
|
19. If the figure above is a rhombus. If <1=42, then what does
<3 >
How do you know? _______________________________ | 20. LM is the midsegment of trapezoidABCD. IfAB= 34 andDC = 128, what isLM?
LM = __________________ |
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