Chapter 6-5 Conditions for Special Parallelograms

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# Chapter 6-5 Conditions for Special Parallelograms - PowerPoint PPT Presentation

Chapter 6-5 Conditions for Special Parallelograms. CJ Kimberlin, Abby Harrison and Krista Aparicio. Parallelogram’s. Theorem Numero Uno…. If one angle of a given parallelogram is right, then said gram is a rectangle. Rectangle - object with congruent adjacent sides.

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Presentation Transcript
Chapter 6-5

Conditions for Special Parallelograms

CJ Kimberlin, Abby Harrison

and Krista Aparicio

Parallelogram’s.

Theorem Numero Uno…

• If one angle of a given parallelogram is right, then said gram is a rectangle.
• Rectangle- object with congruent adjacent sides.
• If an object has congruent adjacent sides then it’s a
• parallelogram.
Theorem 6-5-2
• If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

AC ~

=

= rectangle

BD

b

c

a

d

Theorem 6-5-3
• If one pair of consecutive sides of a ll-agram are congruent, then the ll-agram is a rhombus
Theorem 6-5-5
• If one diagonal of a ll-agram bisects a pair of opposite angles, then the ll-agram is a rhombus
Practice makes perfect.

While on the island, The Professor attempted to make a raft to get the group home. He told Mary Ann and Gilligan that he needed enough palm tree’s and coconuts in order to create a parallelogram, to safely send them home. Once they had there material, the skipper and professor created there boat. The only problem was that they needed it to be a parallelogram to ensure there safety. The measurements showed that although the diagonals were perpendicular, the adjacent sides were not. Will the group be able to leave the island, or be trapped with a useless pile of tree’s?

Sadly they made a rhombus and not a rectangle as they had originally hoped. So they are now stuck on the island for another day as usual here on Gilligan's Island.

Practice makes perfect.

While on the island, The Professor attempted to make a raft to get the group home. He told Mary Ann and Gilligan that he needed enough palm tree’s and coconuts in order to create a parallelogram, to safely send them home. Once they had there material, the skipper and professor created there boat. The only problem was that they needed it to be a parallelogram to ensure there safety. The measurements showed that although the diagonals were perpendicular, the adjacent sides were not. Will the group be able to leave the island, or be trapped with a useless pile of tree’s?

Practice…..

Stu is building a new sand box for Tommy and Dill. Stu puts 2 supporting pieces of wood at the bottom of the box. The diagonals are not congruent to each other. Is the ll-agram sand box a rectangle?

Practice…..

Stu is building a new sand box for Tommy and Dill. Stu puts 2 supporting pieces of wood at the bottom of the box. The diagonals are not congruent to each other. Is the ll-agram sand box a rectangle?

The sand box is not a rectangle , b/c the diagonals are not congruent.

Practice

Harry and Sally are making a garden to grow their veggies in. They wanted it to be rectangle. Harry had started the garden with a right angle. What theorem did he use to insure it would be a rectangle?

Tomatoes

Carrots

Practice

Harry used Theorem number 1 and he now has a rectangular garden.

Harry and Sally are making a garden to grow their veggies in. They wanted it to be rectangle. Harry had started the garden with a right angle. What theorem did he use to insure it would be a rectangle?

Tomatoes

Carrots

Practice makes

Knowledge.

In order to make his latest creation, Dr. Frankenstein required certain material to bring his creation to life. He enlisted Igor to bring him a specific corpse from the local cemetery. You can tell whom the grave belongs to by the shape of the tombstone. The one he needed to find is a rhombus. Igor found a stone that has consecutive equal sides, but its diagonals are not congruent. Did he find the right body, or did he screw up?

Rabbi

Frank Stein

Yes, he surely did, and now Frankenstein will be created and the villagers will love him…….right?

Practice makes

Knowledge.

In order to make his latest creation, Dr. Frankenstein required certain material to bring his creation to life. He enlisted Igor to bring him a specific corpse from the local cemetery. You can tell whom the grave belongs to by the shape of the tombstone. The one he needed to find is a rhombus. Igor found a stone that has consecutive equal sides, but its diagonals are not congruent. Did he find the right body, or did he screw up?

Rabbi

Frank Stein