Quadrilateral Basics

Given parallelogram JKLM, which is valid?

• If ∠JXK ≅ ∠KXL, then JKLM is a rhombus.

• If ΔJXM ≅ ΔJXK, then JKLM is a square.

• If ΔJXM ≅ ΔLXK, then JKLM is a square.

• If ∠MJK ≅ ∠KXL, then JKLM is a rectangle.

Determine the quadrilateral that the following coordinates create

(the most specific)

E(-2,5), F(4,1), G(0,-5), and H(-6,-1)

• parallelogram

• rhombus

• rectangle

• square

• none of these

If the diagonals of a quadrilateral are perpendicular and are not congruent, the quadrilateral may be

• An isosceles trapezoid.

• A rectangle.

• A square.

• A rhombus.

Which quadrilateral must have congruent diagonals?

• Parallelogram

• Rectangle

• Trapezoid

• Rhombus

What is the measure of angle #2?

• 38

• 76

• 104

• 52

A Square is a Rectangle

• Always

• Sometimes

• Never

A Square has congruent diagonals

• Always

• Sometimes

• Never

A Rhombus has perpendicular diagonals

• Always

• Sometimes

• Never

Determine the correct reason for statement #2.

• all sides are congruent property

• all sides are parallel property

• Definition of a quadrilateral

• Definition of parallelogram

Determine the correct reason for statement #4.

• opposite sides of a parallelogram are congruent theorem

• all sides are parallel

• sides are congruent

• sides are supplementary