match the answer with the question. 1. find the distance from a to b for a is –3 and b is 9? 2....
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Match the Answer with the question.1. Find the distance from A to B for A is –3 and B is 9?2. Find the midpoint of DC for D is (3,4) and C is (-
2,4)?3. Find the distance from E to F for E is (7,-1) and F is
(10,3)?4. If H is between GI and GH is 9 and GI is 25, what is
the length of HI?5. If you add segments MN + NP + PR, what is the
name of the resulting segment?
Answers: 5 or square root of 25, 12, MR, (0.5, 4), 16
Foldable* Fold over the second cut section and write RECTANGLE on the outside.* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
Foldable* On the left hand section, draw a rectangle.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand side, list all of the properties of a rectangle.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
A rectangle is a quadrilateral with 4 right angles.
Theorem 8.13 : If a parallelogram is a rectangle, then the diagonals are congruent.
Properties of a Rectangle:1. Opposite sides are ≅ and ||2. Opposite ∠s are ≅3. Consecutive ∠s are supplementary4. Diagonals are ≅ and bisect each other5. All four ∠s are right ∠s
E
A
D C
B
E
A
D C
B
Theorem 8.14 : If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
E
A
D C
B
Foldable* Fold over the third cut section and write RHOMBUS on the outside.* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
Foldable* On the left hand section, draw a rhombus.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand side, list all of the properties of a rhombus.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
A rhombus is a quadrilateral with all 4 sides congruent.Note: All the properties of a parallelogram apply to rhombi.
3 Characteristics of a Rhombi:Theorem 8.15 : The diagonals of a rhombus are
perpendicular.
Theorem 8.16 : If the diagonals of a parallelogram are perpendicular, Then the parallelogram is a rhombus (Converse of theorem 8.15)If BD⊥AC, then □ABCD is a rhombus.
A
B
C
D
BDAC
Foldable* Fold over the third cut section and write SQUARE on the outside.* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
Foldable* On the left hand section, draw a square.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand side, list all of the properties of a square.
* Place in your notebook and save for tomorrow.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
1. Is a parallelogram, rectangle, and rhombus
2. 4 congruent sides and 4 congruent (right) angles
Theorem 8.17 : Each diagonal of a rhombus bisects a pair of opposite angles.
If a quadrilateral is both a rhombus and a rectangle, it is a square.
A square is a quadrilateral with four right angles and four congruent sides.
A
B
C
D
Rhombi Squares
1. Has the properties of a parallelogram.
2. All sides are ≅3. Diagonals are ⊥4. Diagonals Bisect the ∠s
of the rhombus
1. Has all the properties of a parallelogram.
2. Has all the properties of a rectangle.
3. Has all the properties of a rhombus.
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