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# Quadrilaterals &amp; Polygons Review - PowerPoint PPT Presentation

Chapter 6 Honors Geometry. Quadrilaterals &amp; 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

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

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

A. 3600

B. 3420

C. 3240

D. 3060

A. 3060

B. 2880

C. 2700

D. 2520

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

A. pentagon

B. hexagon

C. octagon

D. decagon