Special Parallelograms

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Presentation transcript:

Special Parallelograms Geometry 6-4

Special Parallelograms If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first set of parallel lines then the parallelogram formed is a rhombus. Special Parallelograms

Rhombus Investigation

Rhombus Diagonal Theorem Diagonals of a rhombus are perpendicular and they are bisectors Rhombus Diagonal Theorem

Rhombus Investigation

Rhombus Angle Conjecture The diagonals of a rhombus bisect the angles of a rhombus Rhombus Angle Conjecture

Rectangle Investigation

Rectangle Diagonal Conjecture The diagonals if a rectangle are congruent and bisectors Rectangles are also parallelograms, so all parallelogram conjectures also apply Rectangle Diagonal Conjecture

What figure combines the properties of a rectangle and a rhombus? Square So, combine all the diagonal properties Combination

Square Diagonal Conjecture The diagonals of a square are congruent, perpendicular and bisectors Square Diagonal Conjecture

Sample Problems

Sample Problems

Sample Problems

Sample Problems

Sample Problems

Sample Problems

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Practice

Pages 315 – 317 7 – 12, 16 – 21, 25 - 37 Homework

Pages 315 – 317 7 – 12, 16 – 21, 25 – 37, 54 Honors Homework

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