Unit 3– Quadrilaterals
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Transcript of Unit 3– Quadrilaterals
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Unit 3– QuadrilateralsReview 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°.
- 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
QC AP
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Given: Quadrilateral SOAP with SP OAP and SP OA Prove: SOAP is a parallelogram
S O
P A