Download GEO 1-22-13.notebook

GEO 1­22­13.notebook
January 22, 2013
Geometry
1/22/13
no because the opposite angles are not
congruent.
no because the consecutive angles add to 181
6.6, Special Quadrilaterals
NAME THE FIGURE THAT IS BEING DESCRIBED:
1. A quadrilateral with exactly one pair of opposite angles
congruent and perpendicular diagonals.
2. A quadrilateral that is both a rhombus and a rectangle.
3. A quadrilateral with exactly one pair of parallel sides.
4. Any parallelogram with perpendicular diagonals.
Example 1, Identifying Quadrilaterals
#1 ABCD has at least two congruent consecutive sides.
What quadrilaterals meet this condition?
Kite,
#2
ABCD has perpendicular diagonals. What quadrilaterals
meet this condition?
Kite,
How do we read this?
RELATIONSHIPS FOR QUADRILATERALS
quadrilateral
kite
parallelogram
rhombus
trapezoid
rectangle
isosceles
trapezoid
square
Example 2, Identify the special quadrilateral. Use the most specific name.
#1
#2
1
GEO 1­22­13.notebook
January 22, 2013
Properties of Quadrilaterals
Parallelogram
• Consecutive angles are
supplementary.
• Both pairs of opp. angles are
congruent.
• Diagonals bisect.
• Opp. sides are parallel.
• Both pairs of opp. sides are
congruent.
Kite
Trapezoid
• Exactly one pair of parallel
sides(bases)
• Two pairs of consecutive
angles that are supplementary.
3
2
1
• Two pairs of consecutive sides
are congruent.
• One pair of opposite angles are
congruent.
• The diagonals are perpendicular.
4
Rectangle
Isosceles Trapezoid
• four right angles.
• diagonals are congruent.
• The base angles are congruent.
• The legs are congruent.
• The diagonals are congruent.
Rhombus
• four congruent sides.
• diagonals are perpendicular
Square
•
•
•
•
four congruent sides.
diagonals are perpendicular
four right angles.
diagonals are congruent.
2
GEO 1­22­13.notebook
January 22, 2013
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