LESSON TWENTYTHREE RHOMBI APOCALYPSE RHOMBI AND SQUARES So

LESSON TWENTY-THREE: RHOMBI APOCALYPSE!!!

RHOMBI AND SQUARES • So right now we have discussed the definition and properties of __________ and _____________. • Two new figures we will be discussing today are _________ and ______.

RHOMBI AND SQUARES • A __________ is a parallelogram with _________ congruent sides. • Since a rhombus is a __________, it has all the ___________that a parallelogram does.

RHOMBI AND SQUARES • Those properties are… – Opposite sides are _______ and _________. – Opposite ___________ are _________. – Consecutive angles are ___________. – The ___________each other.

RHOMBI AND SQUARES • Rhombi have properties also that are all their own. • The first says that if a parallelogram is a _________, his its _______ are ____________.

RHOMBI AND SQUARES • The second property states that if a parallelogram is a _________, then each _____________a pair of _____________.

RHOMBI AND SQUARES • The other figure, we will discuss today is called a ____________. • A square is the most specific of the figures because we can think of it as a combination of a _________________.

RHOMBI AND SQUARES • A __________ is a parallelogram with four ___________and four ____________. • Because a square is______a rhombus and rectangle, the special properties for rhombi and rectangles, _______ apply to squares.

RHOMBI AND SQUARES • Therefore if a parallelogram is a ________, then… – Its diagonals are ___________. – Its diagonals are____________. – Its diagonals ___________ a pair of ______________.

RHOMBI AND SQUARES • Using what we know about the ___________________ , we can now identify what figure is represented on a plane. • What type of figure would have 4 congruent sides and 4 congruent diagonals?

RHOMBI AND SQUARES • For the figure below our points are ____________________. • Is this a rhombus, rectangle, square or none of these? A D B C

RHOMBI AND SQUARES •

RHOMBI AND SQUARES •

RHOMBI AND SQUARES • What type of figure would have all four sides congruent, but non-congruent diagonals? • This is the type of problem you’ll be practicing today and the logic you’ll need for it.