Advanced Geometry 5.7 Proving Special Quadrilaterals.

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Presentation transcript:

Advanced Geometry 5.7 Proving Special Quadrilaterals

Proving a quadrilateral is a rectangle A parallelogram is a rectangle if… It contains at least one right angle The diagonals are congruent A quadrilateral is a rectangle if… All four angles are right

Proving a quadrilateral is a kite A quadrilateral is a kite if… It has two pairs of consecutive congruent sides One of the diagonals is the perpendicular bisector of the other

Proving a quadrilateral is a rhombus A parallelogram is a rhombus if… It has a pair of consecutive congruent sides If a diagonal bisects two angles A quadrilateral is a rhombus is… The diagonals are perpendicular bisectors of each other

Proving a quadrilateral is a square A quadrilateral is a square if… It is both a rectangle and a rhombus

Proving that a trapezoid is isosceles A trapezoid is isosceles if… The nonparallel sides are congruent The lower or upper base angles are congruent The diagonals are congruent

Sample Problems Pages

Homework p. 258 #2, 3, 5, 6, 8, 10, 11, 13