1. Quadrilaterals & Polygons Review
Chapter 6
Honors Geometry
Quadrilaterals & Polygons Review

2. How many sides does a polygon have if the sum of the measures of the interior angles is 2880?

3. Find the sum of the exterior angles (one per vertex) of a 23-gon.
360

4. How many sides does a polygon that contains 27 diagonals have?

5. Name the polygon whose ratio of each interior angle to each exterior angle is 4:1.
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Decagon

6. Opposite angles of an isosceles trapezoid are:
Complementary
Supplementary
Congruent
No relationship

7. ABCD is a rhombus. Find mCDB if mABC = 126.
A. mCDB = 126
B. mCDB = 63
C. mCDB = 54
D. mCDB = 27

8. Sahas has a shape he knows to be a parallelogram and all four sides are congruent. Which information does he need to know to determine whether it is also a square?
A. The diagonal bisects a pair of opposite angles.
B. The diagonals bisect each other.
C. The diagonals are perpendicular.
D. The diagonals are congruent.

9. LMNO is a rhombus. Find x.
A. 5
B. 7
C. 10
D. 12

10. LMNO is a rhombus. Find y.
A. 6.75 B
C. 10.5
D. 12

11. If JKLM is a kite, find KL.
A. 5
B. 6
C. 7
D. 8

12. The diagram shows a car jack used to raise a car from the ground
The diagram shows a car jack used to raise a car from the ground. In the diagram, AD  BC and AB  DC. Based on this information, which statement will be true, regardless of the height of the car jack.
A. A  B
B. A  C
C. AB  BC
D. mA + mC = 180

13. Find the measure of an interior angle of a regular polygon that has 10 sides.
B. 162
C. 144
D. 126

14. Find the measure of an interior angle of a regular polygon that has 12 sides.
B. 150
C. 165
D. 180

15. What is the sum of the measures of the interior angles of a 20-gon?
B. 3420
C. 3240
D. 3060

16. What is the sum of the measures of the interior angles of a 16-gon?
B. 2880
C. 2700
D. 2520

17. Find x if QRSTU is a regular pentagon.B
C. 12
D. 10

18. What type of regular polygon has interior angles with a measure of 135°?
A. pentagon
B. hexagon
C. octagon
D. decagon