Unit 3– QuadrilateralsReview for Final Exam

True/False•A diagonal is a line segment in a polygon

that connects any two vertices.

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.

True/False•If the vertex angles of a kite measure 48°

and 36°, then the nonvertex angles each measure 138°.

True/False•The diagonals of a rectangle are

perpendicular bisectors of each other.

True/False•A trapezoid is a quadrilateral having

exactly one pair of parallel sides.

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

True/False•A square is a rectangle with all the sides

equal in length.

True/False•A pentagon has five sides and six

diagonals.

True/False•Any two consecutive sides of a kite are

congruent.

True/False•If a polygon has two pairs of parallel sides

then it is a parallelogram.

True/False•The diagonals of a parallelogram are

congruent.

True/False•The measure of each angle of a regular

dodecagon is 150°.

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.

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.

True/False•Both pairs of base angles of an isosceles

trapezoid are supplementary.

True/False•The diagonals of a rhombus bisect the

angles of the rhombus.

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.

True/False•If the diagonals of a quadrilateral are

congruent and perpendicular then it is a square.

True/False•The consecutive angles of a rectangle are

congruent and supplementary.

True/False•The diagonals of a rectangle bisect the

angles.

True/False•A square is a rhombus with all angles

congruent.

True/False•Every rhombus is a square.

True/False•It is not possible for a trapezoid to have

three congruent sides.

True/False•Every square is a rectangle.

True/False•A diagonal divides a square into two

isosceles right triangles.

True/False•Opposite angles in a parallelogram are

always congruent.

Always/Sometimes/Never•An equilateral polygon is equiangular.

Always/Sometimes/Never•The diagonals of a kite are perpendicular

bisectors of each other.

Find the angle measures of x and y.

One exterior angle of a regular polygon measures 10°.

- What is the measure of each interior angle?

- How many sides does the polygon have?

Find the measures of a, b and c.

Find the measures of x and y.

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.

Given: ABCD is a parallelogram and

Prove: AC and PQ bisect each other

QC AP

Given: Quadrilateral SOAP with SP OAP and SP OA Prove: SOAP is a parallelogram

S O

P A