Polygon Properties Practice Exam

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1. Complete each statement.

The diagonals of a __________ are equal in length.

The three midsegments of a triangle divide the triangle into __________ .

In an isosceles trapezoid, the base angles are __________ .

The diagonals of a parallelogram __________ each other.

Each angle of a regular octagon measures __________

The length of a midsegment of a trapezoid is the __________ of the lengths of the bases.

The vertex angles of a kite are __________ by the diagonal.

The consecutive angles of a parallelogram are __________ .

The diagonals of a __________ are perpendicular bisectors of each other.

The length of a midsegment between two sides of a triangle is __________ the length of the third side.

The sum of the measures of the angles of a decagon is __________ .

The midsegment of a trapezoid is __________ to the two bases.

The diagonals of a kite are __________ .

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About This Quiz

You are allowed the following items on your Polygon Properties Exam: Geometry STAAR Reference Chart Graphing Calculator Geometry Tool Box

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2. Find each lettered angle measure.

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14. Can you prove the following?

Yes

Other proofs exist, but you can find one possible solution below:

Explanation

Other proofs exist, but you can find one possible solution below:

15. If the measure of an exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?

16. Maria compares the number of sides of a regular polygon to the measurements of each angle. Which chart would best represent her findings?

17. In quadrilateral ABCD , «math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§#8741;«/mo»«mo»§nbsp;«/mo»«mover»«mrow»«mi»C«/mi»«mi»D«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«/math»

«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§#8741;«/mo»«mo»§nbsp;«/mo»«mover»«mrow»«mi»C«/mi»«mi»D«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«/math»

«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mo»§#8736;«/mo»«mi»A«/mi»«mo»§nbsp;«/mo»«mo»§#8773;«/mo»«mo»§nbsp;«/mo»«mo»§#8736;«/mo»«mi»B«/mi»«/math»

, and

«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mover»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«mo»§nbsp;«/mo»«mo»§#8800;«/mo»«mo»§nbsp;«/mo»«mover»«mrow»«mi»C«/mi»«mi»D«/mi»«/mrow»«mo»§#175;«/mo»«/mover»«/math»

. Which of the following statements is a reasonable conclusion?

Quadrilateral ABCD is a rectangle.

Quadrilateral ABCD is an isosceles trapezoid.