Lesson 6.5 Proving Properties of Triangles and Quadrilaterals
Properties of special quadrilaterals
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Transcript of Properties of special quadrilaterals
PROPERTIES OF RHOMBUSES 1. 4 congruent sides (definition) 2. All properties of Parallelograms 3. The diagonals of a rhombus are
perpendicular. 4. Each diagonal bisects a set of
opposite angles.
PROPERTIES OF A RECTANGLE 1. 4 Right Angles (definition) 2. All Properties of Parallelograms 3. Diagonals are congruent (the same
length)
PROPERTIES OF KITES 1. No sets of parallel sides (Definition) 2. Two sets of congruent sides which
are adjacent to each other (Definition) 3. Diagonals are perpendicular. 4. One of the diagonals bisects a set of
opposite angles
PROPERTIES OF TRAPEZOIDS 1. One set of parallel sides (Definition) 2. Two sets of same side interior angles
are supplementary (parallel line required)
PROPERTIES OF ISOSCELES TRAPEZOIDS 1. All properties of Trapezoids 2. Two congruent legs (Definition) 3. Sets of base angles are congruent 4. The diagonals are congruent
GROUP WORK P 316 (25-34)
Fill in the chart based on the properties of each Quadrilateral we have discussed.
GIVEN THE FACTS, IDENTIFY THE SHAPE.
The figure below is not draw to scale.1. ABllCD, ADllBCParallelogram2. AB=AD=DC=BC, <A=90Square3. BD is perpendicular to AC, AB=BC, AD=CD, AB≠ADKite
E
C
BA
D
GIVEN THE FACTS, IDENTIFY THE SHAPE.
The figure below is not draw to scale.1. CDllAB, CD≠ABTrapezoid2. AC=BD, BD is not perpendicular to AC, AB=CD, AD=BCRectangle3. <ABC=<BCD=<CDA=<DAB, AC is perpendicular to BDsquare
E
C
BA
D
GIVEN THE FACTS, IDENTIFY THE SHAPE.
The figure below is not draw to scale.1. Parallelogram ABCD, AC=BD, AD=DCSquare2. ∆ABC=∆CDAParallelogram3. ∆BCA=∆DCA, AD≠DCKite
E
C
BA
D