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Chapter 7 Review
Geometry Honors
Name: ________________________
Period: _________
1. Find the sum of the interior angles of a nonagon.
2. Find the sum of the exterior angles of a pentagon.
3. Find the number of diagonals in a decagon.
4. Name the polygon where the number of sides is equal to the sum of the exterior angles.
5. Find the measure of each exterior angle of an equiangular decagon.
6. Find the measure of each interior angle of a regular hexagon.
Directions: For problems # 7 – 10, answer Always, Sometimes, Never
_________7. A square is a regular polygon.
_________8. If the midpoints of an equilateral triangle are joined, another equilateral triangle is formed.
_________9. The number of diagonals of a polygon is greater than the number of sides of the polygon.
_________10. The sum of the measures of the interior angles of a polygon is greater than the sum of
the measures of the exterior angles of the polygon.
11. An equilateral triangle has a side length of 10. If the consecutive midpoints of the triangle are joined
then the perimeter of the new triangle is _____.
12. The measure of three angles of a triangle are in the ratio of 2 : 3 : 7. The measure of the smallest
angle is _____.
13.
BD
bisects ABC. Find x.
14. Find the perimeter.
15. Solve for x.
16. Find the measure of one of the exterior angles at the base of an isosceles triangle if one of the
angles of the triangle is 70.
17. A pentagram is a 5-pointed star formed by extending the sides of a regular pentagon. What is the
sum of the measures of the angles of the star?