# Quadrilaterals & Polygons Review - PowerPoint PPT Presentation

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

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#### Presentation Transcript

Chapter 6

Honors 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.

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Decagon

Opposite angles of an isosceles trapezoid are:

• Complementary

• Supplementary

• Congruent

• No relationship

ABCDis 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

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.

LMNO is a rhombus. Find x.

A.5

B.7

C.10

D.12

LMNO is a rhombus. Find y.

A.6.75

B.8.625

C.10.5

D.12

If JKLM is a kite, find KL.

A.5

B.6

C.7

D.8

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

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

A.180

B.162

C.144

D.126

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

A.135

B.150

C.165

D.180

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

A.3600

B.3420

C.3240

D.3060

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

A.3060

B.2880

C.2700

D.2520

Find x if QRSTU is a regular pentagon.

A.21

B.15.25

C.12

D.10

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

A.pentagon

B.hexagon

C.octagon

D.decagon