Quadrilaterals & Polygons Review

Chapter 6Honors Geometry

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

18 Sides

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

360

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

9 Sides

Name the polygon whose ratio of each interior angle to each exterior angle is 4:1.

A. QuadrilateralB. PentagonC. HexagonD. HeptagonE. OctagonF. Decagon

Opposite angles of an isosceles trapezoid are:

A. ComplementaryB. SupplementaryC. CongruentD. No relationship

A. mCDB = 126

B. mCDB = 63

C. mCDB = 54

D. mCDB = 27

ABCD is a rhombus. Find mCDB if mABC = 126.

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.

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. 5

B. 7

C. 10

D. 12

LMNO is a rhombus. Find x.

A. 6.75

B. 8.625

C. 10.5

D. 12

LMNO is a rhombus. Find y.

A. 5

B. 6

C. 7

D. 8

If JKLM is a kite, find KL.

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. mA + mC = 180

A. 180

B. 162

C. 144

D. 126

Find the measure of an interior angle of a regular polygon that has 10 sides.

A. 135

B. 150

C. 165

D. 180

Find the measure of an interior angle of a regular polygon that has 12 sides.

A. 3600

B. 3420

C. 3240

D. 3060

What is the sum of the measures of the interior angles of a 20-gon?

A. 3060

B. 2880

C. 2700

D. 2520

What is the sum of the measures of the interior angles of a 16-gon?

A. 21

B. 15.25

C. 12

D. 10

Find x if QRSTU is a regular pentagon.

A. pentagon

B. hexagon

C. octagon

D. decagon

What type of regular polygon has interior angles with a measure of 135°?