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Unit 3– Quadrilaterals Review for Final Exam

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True/False A diagonal is a line segment in a polygon that connects any two vertices.

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True/False If the sum of the lengths of two consecutive sides of a kite is 48 cm, then the perimeter of the kite is 96 cm.

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True/False If the vertex angles of a kite measure 48° and 36°, then the nonvertex angles each measure 138°.

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True/False The diagonals of a rectangle are perpendicular bisectors of each other.

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True/False A trapezoid is a quadrilateral having exactly one pair of parallel sides.

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True/False A polygon with ten sides is a decagon.

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True/False A square is a rectangle with all the sides equal in length.

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True/False A pentagon has five sides and six diagonals.

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True/False Any two consecutive sides of a kite are congruent.

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True/False If a polygon has two pairs of parallel sides then it is a parallelogram.

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True/False The diagonals of a parallelogram are congruent.

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True/False The measure of each angle of a regular dodecagon is 150°.

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True/False If the sum of the measures of the interior angles of a polygon is less than 1000°, then the polygon has fewer than 7 sides.

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True/False The sum of the measures of one set of exterior angles of a polygon is always less than the sum of the measures of the interior angles.

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True/False Both pairs of base angles of an isosceles trapezoid are supplementary.

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True/False The diagonals of a rhombus bisect the angles of the rhombus.

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True/False If the diagonals of a quadrilateral are congruent, but only one is the perpendicular bisector of the other, then the quadrilateral is a kite.

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True/False If the diagonals of a quadrilateral are congruent and perpendicular then it is a square.

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True/False The consecutive angles of a rectangle are congruent and supplementary.

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True/False The diagonals of a rectangle bisect the angles.

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True/False A square is a rhombus with all angles congruent.

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True/False Every rhombus is a square.

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True/False It is not possible for a trapezoid to have three congruent sides.

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True/False Every square is a rectangle.

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True/False A diagonal divides a square into two isosceles right triangles.

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True/False Opposite angles in a parallelogram are always congruent.

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**Always/Sometimes/Never**

An equilateral polygon is equiangular.

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**Always/Sometimes/Never**

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

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**Find the angle measures of x and y.**

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**One exterior angle of a regular polygon measures 10°**

One exterior angle of a regular polygon measures 10° What is the measure of each interior angle? How many sides does the polygon have?

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**Find the measures of a, b and c.**

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**Find the measures of x and y.**

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In the diagram below, the line segment with a measure of 29 is the midsegment of the trapezoid. Find the measures of x, y and z.

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**Given: ABCD is a parallelogram and Prove: AC and PQ bisect each other**

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